{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 02 - Reverse Time Migration\n",
    "\n",
    "This notebook is the second in a series of tutorial highlighting various aspects of seismic inversion based on Devito operators. In this second example we aim to highlight the core ideas behind seismic inversion, where we create an image of the subsurface from field recorded data. This tutorial follows on the modelling tutorial and will reuse the modelling operator and velocity model.\n",
    "\n",
    "## Imaging requirement\n",
    "\n",
    "Seismic imaging relies on two known parameters:\n",
    "\n",
    "- **Field data** - or also called **recorded data**. This is a shot record corresponding to the true velocity model. In practice this data is acquired as described in the first tutorial. In order to simplify this tutorial we will generate synthetic field data by modelling it with the **true velocity model**.\n",
    "\n",
    "- **Background velocity model**. This is a velocity model that has been obtained by processing and inverting the field data. We will look at this methods in the following tutorial as it relies on the method we are describing here. This velocity model is usually a **smooth version** of the true velocity model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imaging computational setup\n",
    "\n",
    "In this tutorial, we will introduce the back-propagation operator. This operator simulates the adjoint wave-equation, that is a wave-equation solved in a reversed time order. This time reversal led to the naming of the method we present here, called Reverse Time Migration. The notion of adjoint in exploration geophysics is fundamental as most of the wave-equation based imaging and inversion methods rely on adjoint based optimization methods.\n",
    "\n",
    "## Notes on the operators\n",
    "\n",
    "As we have already described the creation of a forward modelling operator, we will use a thin wrapper function instead. This wrapper is provided by a utility class called `AcousticWaveSolver`, which provides all the necessary operators for seismic modeling, imaging and inversion. The `AcousticWaveSolver` provides a more concise API for common wave propagation operators and caches the Devito `Operator` objects to avoid unnecessary recompilation. Operators introduced for the first time in this tutorial will be properly described.\n",
    "\n",
    "As before we initialize printing and import some utilities. We also raise the Devito log level to avoid excessive logging for repeated operator invocations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "%matplotlib inline\n",
    "\n",
    "from devito import configuration\n",
    "configuration['log-level'] = 'WARNING'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Computational considerations\n",
    "\n",
    "Seismic inversion algorithms are generally very computationally demanding and require a large amount of memory to store the forward wavefield. In order to keep this tutorial as lightweight as possible we are using a very simple\n",
    "velocity model that requires low temporal and spatial resolution. For a more realistic model, a second set of preset parameters for a reduced version of the 2D Marmousi data set [1] is provided below in comments. This can be run to create some more realistic subsurface images. However, this second preset is more computationally demanding and requires a slightly more powerful workstation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Configure model presets\n",
    "from examples.seismic import demo_model\n",
    "\n",
    "# Enable model presets here:\n",
    "preset = 'layers-isotropic'  # A simple but cheap model (recommended)\n",
    "# preset = 'marmousi2d-isotropic'  # A larger more realistic model\n",
    "\n",
    "# Standard preset with a simple two-layer model\n",
    "if preset == 'layers-isotropic':\n",
    "    def create_model(grid=None):\n",
    "        return demo_model('layers-isotropic', origin=(0., 0.), shape=(101, 101),\n",
    "                          spacing=(10., 10.), nbl=20, grid=grid, nlayers=2)\n",
    "    filter_sigma = (1, 1)\n",
    "    nshots = 21\n",
    "    nreceivers = 101\n",
    "    t0 = 0.\n",
    "    tn = 1000.  # Simulation last 1 second (1000 ms)\n",
    "    f0 = 0.010  # Source peak frequency is 10Hz (0.010 kHz)\n",
    "\n",
    "\n",
    "# A more computationally demanding preset based on the 2D Marmousi model\n",
    "if preset == 'marmousi2d-isotropic':\n",
    "    def create_model(grid=None):\n",
    "        return demo_model('marmousi2d-isotropic', data_path='../../../../data/',\n",
    "                          grid=grid, nbl=20)\n",
    "    filter_sigma = (6, 6)\n",
    "    nshots = 301  # Need good covergae in shots, one every two grid points\n",
    "    nreceivers = 601  # One recevier every grid point\n",
    "    t0 = 0.\n",
    "    tn = 3500.  # Simulation last 3.5 second (3500 ms)\n",
    "    f0 = 0.025  # Source peak frequency is 25Hz (0.025 kHz)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# True and smooth velocity models\n",
    "\n",
    "First, we create the model data for the \"true\" model from a given demonstration preset. This model represents the subsurface topology for the purposes of this example and we will later use it to generate our synthetic data readings. We also generate a second model and apply a smoothing filter to it, which represents our initial model for the imaging algorithm. The perturbation between these two models can be thought of as the image we are trying to recover."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdkAAAGDCAYAAABnUmqTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3XvcZWP9//HX24yzikmIGKQwUsrUV5RBX6Ec6hdSiITom6jwxchhTCGH1FdiohyTQ+QcOcwoNRjKYTBOM8Y4ZJhxGmOY8fn9ca3t3rNnH9a+99r7vu/Z7+fjsR773mtd11rXXnPP/dnXta6DIgIzMzMr3iJ9XQAzM7OFlYOsmZlZmzjImpmZtYmDrJmZWZs4yJqZmbWJg6yZmVmbdDzISlpV0uWSXpH0qqQrJK2WM+8Skk6S9Jyk2ZL+KWnTdpfZzMyKIWkrSbdKel7SHEnTJF0qaViDfKtLihrbshVp+02sGNzJi0laCrgVmAPsAQQwGrhN0scjYlaDU5wDfBk4BHgS+B/gRkmfjYh/t6/kZmZWkCHAPcAZwHRgNeAwYLyk9SPiqQb5jweurtj3WsX7fhMr1MnJKCQdCJwKrB0Rj2f71gAeAw6NiFPr5P0E8G9gr4j4fbZvMDARmBQR27e7/GZmVjxJawOPAAdHxCk10qwOTAb2iYiz65yrX8WKTjcXbw+MLwVYgIiYDNwB7JAj79vAJWV55wJ/BLaStHjxxTUzsw54KXudW8C5+lWs6HSQXQ94sMr+iUDd9vgs7+SIeKNK3sWAtVovnpmZdYKkQZIWk/QR4CzgeeDiHFmPlzQ369dztaT1K473q1jR0WeypLb4mVX2zwCWayFv6biZmQ0MdwIbZj8/DmwRES/UST+HFIxvIj3LXQc4AviHpM9ExMNZun4VKzodZDtO0r7AvundohvC8n1aHjOz/uVlIt4QwFrSAtW/Zj2Xaoxvlu0aExFjqiTdHXgvsCZwMPBXSZ+LiCnVzhsRzwH7le36m6S/kK43EtitxaK3RaeD7Eyq11hrffOozDu0Rl7o+ZYyn+wfdwyAtHK8G2/NzIzszyMAs0ndcFtxJLwZEcMbpSured4p6QZgCqmX8X41My14jqcl/R34dNnuXsWKdun0M9mJpPbySsOAh3LkXSMbBlSZ9y1Sc4OZmQ0wEfEy6W94b5+Xlg+T6VexotNB9mpgI0lrlnZk3bI3YcFxT5WuARYFdirLOxj4OnBTRMwpurBmZt1EpD+yrWy9uq60IukZ6xNN5lsN+BxwV9nufhUrOt1c/Fvg+8BVko4kffs4Dnia9EAbAElDSTd7VESMAoiIf0m6BDhN0qKk8VL7A2sAu3b0U5iZLYRE+4OCpCuBe4H7gVeBjwI/JA3fOSVLMwK4hTTW9fxs3ymkiuE/SR2f1gYOB94Bflo6f3+LFR0NshExS9IWwC+AC0j/prcAB0XE62VJBQxiwZr2t0k3czSwLHAfsHVE3NvuspuZLexKNdk2Gw/sDPyYNKTmaWAscHxZp6dqMWAiKVjuCSxDGlt7K3BsREyquEa/iRUdnfGpr7njk5lZpTFEPCuA1aQ4pMWz/QDuydPxqVss9EN4zMwsn040F3cb308zMwM61lzcVRxkzcwMcE22HXw/zcwMcE22HTq+aLuZmVm3cE3WzMwANxe3g++nmZkBbi5uBwdZMzMDHGTbwUHWzMze5aBQLHd8MjMzaxN/aTEzM8DNxe3gIGtmZoB7F7eD76eZmQGuybaDn8mamZm1iWuyZmYGuLm4HXw/zcwMcHNxOzjImpkZ4JpsO/h+mpkZ4JpsO7jjk5mZWZu4JmtmZoCbi9vB99PMzAA3F7eDg6yZmQEOsu3gIGtmZu9yUCiWOz6ZmZm1ib+0mJkZkDUXtxoV5hZRkoWHg6yZmQEgwWAH2UI5yJqZGZCC7KKD+roUCxc/kzUzM2sTB1kzMwN6motb2RpfQ1tJulXS85LmSJom6VJJwxrk+4KkCyU9IWl29vobSStUSRs1tg16f3d6x83FZmYGFNTxqbEhwD3AGcB0YDXgMGC8pPUj4qka+fYDlgFGA08CHwGOBbaS9PGIeL0i/bnAWRX7Hi3kEzTBQdbMzBIBbX4mGxEXAxfPd1npLuARYEfglBpZvxcR08vej5P0KDAO2Bn4XUX6ZyJifDGl7j0HWTMzS/pu8uKXsteafZMrAmzJ3dnrKoWXqCB+JmtmZh0naZCkxSR9hNSs+zwVNdwcRmSvD1c5tn/2zPeN7Bnw51spb2+5JmtmZkkxNdnlJU0oez8mIsZUSXcnsGH28+PAFhHxQt6LSHoPcBopwP654vCFwLXAs8BQ4BDgVklbRsTYvNcogoOsmZn1aD0qvBgRw3Ok2x14L7AmcDDwV0mfi4gpjTJKGkyq9a4CbBIR8zUzR8TuZW//Jukq4EFSp6nP5foUBXFzsZmZJaWOT61sOUXEwxFxZ9YR6guknsOHNSyitAhwHvDfwFci4v4c13oNuA74dP4SFsM1WTMzS/qo41NEvCzpcWCtHMnPBL4O7BgRtzR7qaYL1yLXZM3MrE9JWhFYB3iiQbpTgL2Bb0dE5XPYevneC2wL3NVKOXvDNVkzM0s6UJOVdCVwL3A/8CrwUeCHpOE7p2RpRgC3AHtFxPnZvv8FfkQaD/uYpI3KTjs9Ip7I0h0MrA3cRk/Hp4OBlYBd2/vpFuQga2ZmPdq/QMB40uQRPwYWA54GxgLHl3V6Kj0dLm9t3SZ73Svbyp0H7Jn9PAn4ara9jxTI7wC+ExGuyZqZWR/pQE02Ik4ETmyQZmxWmvJ9m+U8/zXANb0sXuH8TNbMzKxNXJM1M7Ok76ZVXGj5dpqZWQ8v2l4oB1kzM0tcky2cb6eZmSUOsoVzxyczM7M28XcWMzNLXJMtnG+nmZn1cMenQjnImplZ4pps4Xw7zcwscZAtnDs+mZmZtUnHg6ykVSVdLukVSa9KukLSajnyDZc0RtIjkt6QNFXSRZLW6ES5zcwWeh1ctL1bdLRhQNJSwK3AHGAP0gK6o4HbJH08ImbVyb4LsB7wK2AisArwE2CCpA0i4um2Ft7MbGHn5uLCdfp27gOsCawdEY8DSLofeAz4LnBqnbwnRsT08h2S7gAmZ+c9qi0lNjPrJg6yhep0c/H2wPhSgAWIiMmktf52qJexMsBm+54CppNqtWZmZv1Kp4PsesCDVfZPBIY1ezJJ6wIrAA+3WC4zM/Mz2cJ1umFgCDCzyv4ZwHLNnEjSYOBMUk32nNaLZmbW5fxMtnAD+XaeDmwMfDkiqgVuACTtC+yb3r2vIwUzMxuQHGQL1+nbOZPqNdZaNdyqJJ1ACpx7RMRN9dJGxBhgTMq3cuQvqplZF3KQLVSnb+dE0nPZSsOAh/KcQNJI4H+BAyLiggLLZmZmVqhOd3y6GthI0pqlHZJWBzbJjtUl6QekcbUjI+L0NpXRzKw7ueNT4TodZH8LTAGukrSDpO2Bq4CngbNKiSQNlTRX0lFl+3YBTgP+AtwqaaOyremeyWZmVqH0TLaVzebT0VsSEbMkbQH8AriA9E96C3BQRLxelrT0far8S8DW2f6ts63cOGCzNhXbzKw7uONT4Tp+OyNiKvC1BmmmkP65y/ftCezZrnKZmRlu8i2YV+ExMzNrEzcMmJlZ4ubiwvl2mplZ4iBbON9OMzNLHGQL52eyZmbWMZK2knSrpOclzZE0TdKleYZiSlpO0tmSXpQ0S9LNktavkm4JSSdJek7SbEn/lLRpez5RfQ6yZmbWo/2TUQwB7gG+D3wROJw0E+B4SUNrZZIk4BrSEM4DSKNUFgVuk/ShiuTn0LPO+LbAc8CNkjbIVcICuWHAzMySDjQXR8TFwMXzXVa6C3gE2BE4pUbW7UmzA24REbdl+f4JTAYOBX6Q7fsE8E1gr4j4fbZvHGla31HZeTrGNVkzM0v6bsanl7LXuXXSbA88WwqwABHxCql2u0NFureBS8rSzQX+CGwlafFel7IXHGTNzKxHh+YuljRI0mKSPkKaVvd5Kmq4FdYDHqyyfyKwmqRlytJNjog3qqRbDFgrfylb5yBrZmZFWl7ShLJt3xrp7gTmAI8CHyc1A79Q57y1lkSdkb0ulzPdkLqlL5ifyZqZWVLMM9kXI2J4jnS7A+8F1gQOBv4q6XPZtLoLDQdZMzNLOjhONiIezn68U9INpBXaDgP2q5FlJj211XJDyo6XXqv1Ui6lm1HlWNu4udjMzJI+Wk82Il4GHqf+89KJpOetlYYBU8tWcpsIrCFpqSrp3squ0zEOsmZm1qckrQisAzxRJ9nVwCqSRpTley+wXXas5BrS+NmdytINBr4O3BQRcwosekNuLjYzs6QDzcWSrgTuBe4HXgU+CvyQNHznlCzNCNJa43tFxPlZ1quBfwIXSjqE1Cx8eFbqn5fOHxH/knQJcJqkRUnjaPcH1gB2be+nW5CDrJmZ9Wh/VBgP7Az8mDSk5mlgLHB8WaenUsP1u62tEfGOpG2Bk4EzgCVIQXfziHi64hrfBn4KjAaWBe4Dto6Ie9vzkWpTRHT6mn1GWjmgVm9yM7NuNIaIZwUw/MOKCSe2djbtxD05exd3BddkzcwsKdUfrTDu+GRmZtYmrsmamVni9WQL59tpZmY9HBUK5dtpZmaJn8kWzkHWzMwSNxcXzh2fzMzM2sTfWczMLHFNtnC+nWZm1sPPZAvlIGtmZolrsoXzM1kzM7M28XcWMzNLXJMtnG+nmZklDrKF8+00M7Me7vhUKAdZMzNLXJMtnDs+mZmZtYm/s5iZWdLlNVlJg4GvAFsDGwErA0sCLwKTgHHAJRHxaN5zdvHtNDOzBXThM1lJSwI/An4ALA88CvwLuAWYDQwB1gB+DBwjaSxwRETc2ejcDrJmZpZ0b032ceAlYDSppvpCtUSSBGwK7AbcKumgiPhtvRN35+00M7MFdW+Q/UFE/KlRoogIUpPxOElHA0Mb5enO22lmZpbJE2Cr5HkWeLZROgdZMzNLurcmW5ekjwLrAndGxPPN5PXtNDOzd0UXdnwqJ+mXwKIR8b3s/Q7AZaR4+YqkL0TEvXnP53GyZmYGQAjmDW5tWwh8GRhf9v444C/AhsC9wLHNnMxB1szMrMcHgSkAklYBPgb8NCL+BZwGfLqZky0c3zvMzKx1Wmhqo614E1g6+3kE8Bpwd/b+NeC9zZzMt9PMzIDUXDx3UKsNnO8UUpY+dC/wPUmTge8Bf42I0odaHXiumZM5yJqZGQAhMW9wq2HhrULK0od+AlwPTAReBb5fduwr9NRqc/EzWTMze9e8QYNa2hqRtKOkP0l6StJsSZMkHS/pPQ3yHSMpamxvVqSdUiPdVxqVLyLGk2qsGwNrRMS/yw7/Djim4Ycs45qsmZl10sHAVOAIYBrwSVLg2lzSxmVNs5XOJvXyLbd0tu/qKulvZMGAOKnaiSVdD1wJXB0R/4mIV4EF5iWOiGrXqaupICtpJeZflWByRAz4tgEzM4NAzGv/CgHbRcT0svfjJM0AzgM2A26tWraIaaSg/C5Ju5Pi2HlVsryY1UrzeJY0VOc3ku4C/gz8uZnVdmppGGQlDQf2BrYCVqs4/Jaku4GLgQsj4rVWC2RmZn0jEHPbHGQrAmxJ6TnnKk2ebg/gP6Raaytl2jub/H8TYAdSzDte0iRSwL0yIpp6FltS85mspOHZcj53AZ8FrgX2IT343Qr4Bqkq/iJwAjBN0khJS/SmIGZm1vfmMbilrZdGZK8P580gaVVgc+CiiJhbJcl2kt6QNEfS+EbPYyP5e0QcEhEfBT4B/AHYErhT0jRJZ0jaMlt3Npd6CccBvwX2j4i6HzwLrDsAh5IC93F5C2BmZv1DQc3Fy0uaUPZ+TESMqZU4m/BhFHBzREyola6K3UjxplpT8TWk2vFkYEVSD+ErJe0eERfmOXlEPAg8CIzOyvhVUpy7DpgFLJfnPEor91Q5IK3U7ETIWb4VI+I/zebrBGnlgH37uhhmZv3IGCKeFcDHhy8a104Y0tLZhuqFeyJieJ60kpYBxpL6+nwme+6ai6SHgdkR8akcaQeRpkpcKSJWzXuNGudaFvhyRFyUJ33NmmxvAmyWr18GWDMzq69DHZ8AkLQkqca5JjCiyQD7GWAd4KA86SNinqTLgBMlfTAick0oIWkFYIFHoHkDLPRynKykRSq3JvKuKulySa9IelXSFZIqO1TlOc9h2binvzeb18zMqpvHoJa2PCQtClwODAe+FBEPNFnMPYC3Sc9Mm1W9+banbEMkXShpNml2p8lVttxyPbzNvnEcDewEfKhKvshzLklLkbpnzyHdpABGA7dJ+nhEzMpZnjWBI4EX8qQ3M7PGOtG7OKuUXQRsAWzbxDCbUv7FgF2AG2r0VK6WZzDwdWBqjlbas4H/BsYAj9DiFFZ5e0idAexKqtr/sYWL7kNqGlg7Ih4HkHQ/8BjwXeDUnOf5DekfaW08oYaZ2UDya1KF7afALEkblR2bFhHTJA0FngBGRcSoivzbAkOo3uEJSd8gdVC6Hnia1PHpf4BPkUbFNLIFcGBE/D7/R6otb4DaHjg4In7V4vW2B8aXAixAREyWdAfppjQMspK+Sc/NuqLF8piZWSY9k217vWWb7HVktpU7ljQ0VMAgqj/S3AOYQRpWWs1kYAXgJFIwngVMALaOiDzjaV8GetUnqZq8d3MOTYxfqmM94Koq+yeSvtnUJWk54BfAoRExI40dNjOzorS741NErJ4jzRRSoK12bIcGeceTaqO99WtSq+sNLZzjXXmD7LmkNvC/tni9IcDMKvtnkG/M0UnAo1l5cpG0L++O23lf3mxmZl2nk72L+6uIOEnSKZIeAG5mwZgVEZF7Loi8QfYnpDkdbyJNX7VAoIyI3+W9aG9I+jzwLeBTUWtwbxXZIOgx6Rwr585nZtZtAtre8am/k7Q1sB9pjv71qiQJmphwKW+Q3ZD0PHUFUq+rahfNE2RnUr3GWquGW+4s4BzS9I3LZvsGA4Oy97MjYk6OMpiZmdXyC+DfpFmiOta7+EzgJVI7dSsXnUj1bwbDgIca5F032/arcmwm8EPgtF6Wy8zMOtPxqb8bSupd/K8iTpb3bq4D7BgR17d4vauBkyWtGRFPAkhanbTywWEN8m5eZd9ppB5oBwCPVzluZmY5+ZkskGqxHyzqZHmD7CTS4rit+i2pCn6VpCPpadt+mtQcDEC1MVIRMbbyZJJeBgZXO2ZmZs1zkOUg4HeSHomIBRZub1beIHsY8HNJd0XEU729WETMkrQFqc37AlIX7VuAgyLi9bKk9cZImZlZG7gmC8AlpL5D/5D0KtV7F38478nyBtkjSZ2eHpX0aI2Ljlgw24IiYirwtQZpplBjjFRFus3yXNPMzCynO2gwv3Ez8gbZeaQOT2ZmtpDqxNzF/V1E7Fbk+XIFWdcYzcy6Q7f3Lpa0XkRMrHN8x4i4PO/5cj3zlPShBsdzNRWbmVn/VXom2+6l7vq5v9SKeZK+RlqcJre8HYtuLJsAovKin6f2RM1mZmYDyQPATdlc+e+S9FXgYuD/mjlZ3iD7OnCdpPlWiJf0OdJyQlc3c1EzM+t/XJMFYEfgNVLMWxJA0g6kZV7PiIiDmzlZ3iD7ZeD9wGXZgrtI2pgUYK8DCn1QbGZmfWMug1raBrqIeIP5Y95XgUuBMRFxULPny9vx6cVs0uQ7gHMkjSEtA3QjsGszE/abmVn/1KH1ZPu9LOZ9EfgHcDlwZkQc0Jtz5b6bETFF0jbAOGBX4Bpgl4iY15sLm5lZ/9Ktk1FIOqrGoX8AI4AXytIUs9SdpL1qHLqatLL9TcAepYXT273UnZmZWZsc0+D40WU/F7bU3dkN8v6m4qIOsmZmA1w31mSBRdt14npBdo12XdTMzPqfbp3xqZ2PPWsG2VYWAjAzs4GnWzs+SVo8Iua0I59XuTEzs3d16TjZyZIOkPSePIklfUbSFcChjdLW6/j0b+BY4M95huhk01AdCkyLiJ/nKWjniTY2vZuZDUANFzzrBgcBPwVOkHQ98DfgPmA6MIe09N2awGeA7bKfz6dx36W67QLnkxZZP13SpTkuOoK0NuzpTX88MzPrc906hCciLs1qpl8DvgP8nAVrZAKeIa03e1ZEPJbn3PWeyZ4q6Rxg7+yiB7LgGnsiBdyrgC9ExLg8FzUzs/6nW4MsQETMJQXQS7IphD8FrAwsAbwEPBIRk5s9b90n3BHxCnAKcIqk1YCNKi8K3NWbB8Z9Yxlgk74uhJlZP3L+fO+6sXdxpYh4kzQRRcuamfFpKjC1iIuamZl1g+7rq21mZlV16xCedvIQHjMzAzqz1J2kHSX9SdJTkmZLmiTp+DzDZyRFjW2DinSLSDpc0hRJb0q6L1twveO66yvLh98Dp2zW16UwM+s/fjx/bOtAx6eDSY8ejwCmAZ8kzR28uaSNI+KdBvnPBc6q2PdoxfvjsuuMBO4BdiEtW7dtRFzfUumb1F1B1szMaurQtIrbRcT0svfjJM0AzgM2A25tkP+ZiBhf66CkFUgB9oSIODnbfZuktYATSOugd4ybi83MrGMqAmzJ3dnrKgVcYitgMeDCiv0XAutLqjsvv6S9JC1ZQDmALqvJbjj4HiYs79lNzMxKhpdFgT7s+DQie304R9r9JR0CzAPGA0dHxN/Kjq9Hmr/h8Yp8E7PXYUC98a6/JQ1bPZ806cRDOcpUU+67KWlNYGdgNdI42XIREd9ppSBmZtb3Oj0ZhaRVgFHAzRExoUHyC4FrgWeBocAhwK2StoyIsVmaIcDLVaYDnlF2vJ51gH2BPYDvS/oHcCZwWUS8leMjzSdXkJX0FeBSUvPyC6RvCeUazm1sZmb9W0EzPi0vqTxYjomIMdUSSlqGNGPgXODbDcsXsXvZ279Jugp4EBgNfK73RZ7vGo8Bh0g6AtgR2A+4ADhN0rmkz5NrSkXIX5M9DhgL7FqjPX1AeG0SjC3kn8HMbOHwWsX7AoLsixExvFGi7LnnNaQ58EdExLRmLxQRr0m6jjT1b8lMYFlJqqjNlmqwM8ghIt4GLgYulrQOqTb7I+BHksYCP4+IGxudJ2/HpzWBkwdygDUzs/5B0qLA5cBw4EsR8UCLpywPphOBxYEPV6QZlr3mfsYqaWlJ+wIXAZsCDwBHk+bovV7S0Y3OkTfIPgK8P2/BzMxs4CkN4Wlla0TSIqSgtQXwlXrDcXKc673AtsBdZbv/ArwN7FqRfDfgwTyT/EvaQNJvSM9+f0WKgZ+PiA0iYnRE/BephfeARufK21x8KKk9+s6IeDJnnn7ndeCOvi6EmVk/8nrZzx3qXfxrYCfS+q2zJG1UdmxaREyTNBR4AhgVEaMAJB0MrA3cRk/Hp4OBlSgLqBHxgqRTgcMlvQbcC3ydFNS3b1Q4SXcBGwJPk8bVnl2jFfcvwFGNzldv0fbbK3a9H3hY0mMs2KYdETECMzMb0DrQu3ib7HVktpU7ljT7k4BBzN/aOgn4ara9D3iVVG/6TkTcNf9pGEn6/nAgKQhPAnaOiGtzlO9F4CvAtVV6KJe7F/hIo5PV+8ryDvO3c0/KUTgzM7OaImL1HGmmkAJt+b5rSB2l8lxjHqnH8ejmS8ho4L5qAVbS0sAnIuIf2XCeJxqdrN6i7Zv1onBmZjZAdfOi7WX+BnyW+Z/zlqyTHc99k/KOk/0WcF1EvFTl2BBg24g4f8Gc/UuQnoabmVkS8/3ckbmL+7t60wIuTpppKre8T7h/T4rsCwRZYI3seL8PsmZmVl83ricraTVg9bJdn5RUObPhkqTxuE83c+68d7NeZF+aNFuHmZkNYF3cXPxt0vjXyLYzqqQRqRbbcNhOuXq9izcAPlW2aztJH6tItiRpnb7cU0yZmZn1M+cDfycF0puAH7DgYgVzgEnNTspUrya7AymyQ4rslV2tS15i/imtzMxsAOrWmmw2QcVkAElbAndFROWMk71SL8ieRlqBXsCTwP8D/lWRZg7wnwZjiczMbIDoxiBbLiJuKfJ89YbwvAK8ApAtcvtcb5b5MTOzgaFbexdLehTYMSLuzyZcqldxjIhYO++5c3V8ioinsoJsTuplvArwDPDPiLgt78XMzMz6oTvpWZDoTgpcvjXvONkhwGXA5qSZoGYCy6VDuo00XVWu5YPMzKx/6tDcxf1O+Tq1EbFbkefOuwrPr4BPk1YxWDIiPkDqWfytbP8viyyUmZn1jXkMammz+eX9yrIdcHhE/KG0I1vQ9qKsltub+SHNzKwf6dbexeUknQysEBHfqnLsPFJn30Pzni9vTXYetcfCTqLJaabMzKz/6cR6sgPAV4Gbaxy7OTueW94gexVpPb5qdgH+3MxFzczM+qlVgKk1jk3NjueWt7n4GuAXkq4jdYD6D7AisDOwHnCgpC1KiSPi1mYKYWZm/UM3dnyq8DKwJjC2yrG1gFnNnCzv3bw8e12VngV3y/0pexWp6/NC0WZgZtZN/EwWgFuAkZKuKZ9CUdLywOHUbkquKm+Q3byZk5qZ2cDjIAvAT4C7gcckXQ1MIzUR70BaLbXWFMNV5Z2MYlyThTQzswFoIem81GsR8aSkT5NGzWwDDCHN0X8t8JNsnuPcmmp8z6rLGwHvB66JiBnZmntvRcQ7zZzLzMysP4qIJ4FvFnGuvDM+Cfg5aR29xUjPXT8NzCD1PP47cFwRBTIzs77RrTM+1SJpbbKabEQ82ptz5B3CczjwfWAU8F/Mv4j7NcC2eS8oaVVJl0t6RdKrkq7IVqXPm39dSZdJelHSbEmTJB2YN7+ZmVVXeibb7TM+SdpT0jPAQ6RK5MOSnpG0R7PnyvuVZW9gVEQcL6nyLj4OfDjPSSQtBdxKWiJvD1KNeDRwm6SPR0TdrtGShmf5x2ZlegX4CLBMzs9hZmZ1LCyBsrckfQP4HTAOOAp4HlgJ2BX4naQ3I+KSvOfLG2RXAcbXOPYWsHTO8+xDGn+0dkQ8DiDpftJsUt8FTq2VUdIipNXrb4mI8hk3vAqQmZkV5X+BiyNi14r950i6CDgMyB1k8zYXPwN8rMaxT5CtKJ/D9sD4UoCFd1ekv4PUPbqezYB1qROIzcys99xcDMDapApdNRcA6zRzsrxB9jLgKEmblO0LSR8FfgzzwExvAAAeeklEQVT8Med51gMerLJ/IjCsQd7PZa9LSBov6W1JL0j6laQlc17fzMxqCPDcxfA6tadOXDk7nlveIHsM8AhwOz0LBVwGPJC9PyHneYaQ1qKtNIO0Pm09K2evlwA3AVuSejzvDfyhViZJ+0qaIGnCGzkLaWbWnVLv4la2hcCNwM8kfbZ8ZzZ29jjghmZOlncyitmSNiONG9qK1NnppeyCF0XE3GYu2kulLwQXRsRR2c9js45YJ0haNyIerswUEWOAMQArS4Wtdm9mtrDxjE8AHEqqUP5d0lPAc6SOT6sDT5Ke2eaW+2tHRMwjtUdf0MwFKsykeo21Vg233EvZ618r9t9Eqkl/ElggyJqZmeUVEc9K2oDUSvp5Unz6N/BL4HcR0VRzcd7JKJYAhgMfJDXbPwfcExFvNnMx0rPX9arsH0Yaj9Qobz2eccrMrEXtrslK2hH4BimmrEBaPu4K4GcR8VqdfMOBfYFNgdWAF4G/AUdWTnUoaQowtMppvhoRDZdmzQLpadnWkrpBVtLipOee+wCL0zMJRQBvSvoNcEREvJXzelcDJ0taM5u2CkmrA5uQukXXcwNpfO1WpAkwSrbOXifkLIOZmVVRWrS9zQ4mBdYjSJPvf5LU72dzSRvXmaJ3F1Il7VekStcqpMn8J0jaICKerkh/Y3becpOK+ADNaFSTvRbYgjR14vWkGyPSknfbAj8k1UK/lPN6vyXNHHWVpCNJwfo44GngrFIiSUOBJ0gTYIwCiIiXJB0P/ETSq6RJKYaTBgufVz4syMzMmtehaRW3K19CDhgnaQZwHmmoZq31yE+syIekO0hDSPchxYJyL0ZErfkd5iPpMVI8yiMiYu2caWvfTUk7kZa42zEirqyS5GxJXwMukfT/IuKKHCWblS3u/gvSs12R1u47qKKdW6Q1aSt7P48CXgO+R/o29BxwEp432cysEO1uLq4MlJm7s9daQ2eq5ouIpyRNr5cvpzvJH2SbUu8ryzeAS2sEWAAi4k+SLiNNN9UwyGZ5pgJfa5BmCvPPj1zaH6TJKDwhhZnZwmNE9tpU51VJ65Ke61bLt52kN0gVtn8BJ9R6HhsRuzVz3WbUGyf7SeC6HOe4FvhUMcUxM7O+UtCMT8uX5ibItn3rXVPSKqRWypsjInffGkmDgTOB6cA5FYevIa0atxWpEvgmcKWktgXTWurVZD9AegbbyFTSNwkzMxvAAjHvnZabi1+MiOF5EkpahtTnZy7w7SavczqwMfDliJhvCGhEHFBxnStJ8+8fD1yYo1wfB44k9WQeAmwUEfdKGg3cHhE35S1kvZrsUqTevI28BSyR94JmZtZPBcydO6ilLa9sOtxrSIvGbBUR05rIewJpOM9eeQJeNs/DZcCHJH2wwbk3Jj2j/QTpMWj5h1oE2C9vOaFx7+JVJK3ZIM2HmrmgmZl1N0mLApeTRohsGREPNJF3JGnWpQMiojeTIzXq4HQiqUPu9iwYVCeQmp9zaxRkL89xDtGmXllmZtY5EWLe3PYO4cmWLb2INDx027zDbLK8PyCtQT4yIk5vIt9g4OvA1Ih4vkHyDYGvRcQ7kio74L4IrJj3ulA/yDbbPm5mZgNYCrJtn4zi18BOwE+BWZI2Kjs2LSKmVZsrQdIupBmY/gLcWpHv1Yh4KEv3DdLSqdeT5mBYEfgfUgfdb+Qo3xyg1spuKwGv5PqUmZpBNiLOa+ZEZmY2wAWdCLLbZK8js63csaRZmqrNlbB1tn9remb6KxlHmsgC0uQUK5DmUBgCzCI1824dETfmKN/fgR9IKh/uU2qt3Qu4Lcc53rVQrEtkZmatixBz3277ZBSr50gzhYq5EiJiT2DPHHnHk5qie+soUqD9F6mzVAC7Sfo5sBHwmWZOlnc9WTMzs4VeRPyLVCt+mZ5a9UGkUTSbV1tStR7XZM3MLCPemeewEBF3AyMkLQUsD8yst0JQPb6bZmaWBND+Z7L9jqTfAedGxO3l+yPiDfJNylSTg6yZmSWhrgyypOE9e0iaCpwPXFDUym5+JmtmZkkAc9XaNjCtCOwNTCFNpzhJ0h2S9pH0vlZO7CBrZmZdLSJej4jfR8TmwOqkxeCXI61z/pykP0raJptIoykOsmZm1mNui9sAFxFPR8TPImIYacjO70hDgq4FnpF0cjPnc5A1M7Mk6PogWy4i7oqI75MWhf8FaZKLHzZzDnd8MjOzpBRkDQBJawHfAnYjNSO/ClzazDkcZM3MzDKSlgN2IQXXz5C+evwVOAL4c0S82cz5HGTNzCwJ4O2+LkTnZUvvbUsKrNsAiwEPAYcBF0bEc709t4OsmZklAczr60L0if8A7wNmAGOA8yLiniJO7CBrZmY9uvOZ7DjgPOC6iCi0Lu8ga2ZmSZd2fIqIr7br3B7CY2Zm1iauyZqZWdKlNdl2cpA1M7PEQbZwDrJmZpY4yBbOQdbMzHo4yBbKHZ/MzMzaxDVZMzNLunTGp3ZykDUzs6R7Z3xqGwdZMzNL3PGpcH4ma2Zm1iauyZqZWeKabOEcZM3MLHGQLZyDrJmZ9XCQLZSDrJmZJa7JFs4dn8zMrGMk7SjpT5KekjRb0iRJx0t6T468S0g6SdJzWd5/Stq0SrpFJB0uaYqkNyXdJ+lr7flE9TnImplZUqrJtrI1djBpNO4RwNbAb4D9gb9KahSTzgH2AY4CtgWeA26UtEFFuuOAY4DTgW2A8cBlkr6Uq4QFcnOxmZklnZnxabuImF72fpykGcB5wGbArdUySfoE8E1gr4j4fbZvHDARGAVsn+1bgRTIT4iIk7Pst0laCzgBuL7wT1SHa7JmZpaUZnxqZWt0ifkDbMnd2esqdbJuT/oKcEnZueYCfwS2krR4tnsrYDHgwor8FwLrS1qjcSmL4yBrZmY92t9cXM2I7PXhOmnWAyZHxBsV+yeSgupaZenmAI9XSQcwrNel7AU3F5uZWZGWlzSh7P2YiBhTK7GkVUjNvTdHxIRa6YAhwMwq+2eUHS+9vhwR0SBdRzjImplZUswQnhcjYniehJKWAa7Krvrtlq/cDznImplZ0sFxspKWBK4B1gRGRMS0BllmAkOr7C/VTGeUpVtWkipqs5XpOsLPZM3MLCn1Lm5ly0HSosDlwHDgSxHxQI5sE4E1JC1VsX8Y8BY9z2AnAosDH66SDuChfKUshoOsmZl1TDYW9iJgC+ArETE+Z9ZrgEWBncrONRj4OnBTRMzJdv+FFO53rci/G/BgRExuofhNc3OxmZklnVm0/dekQPlTYJakjcqOTYuIaZKGAk8AoyJiFEBE/EvSJcBpWU14MmkSizUoC6gR8YKkU4HDJb0G3EsKxFuQjaXtJAdZMzPr0f5nsttkryOzrdyxpJmaBAxiwdbWb5OC82hgWeA+YOuIuLci3UjgdeBAYCVgErBzRFxbzEfIz0HWzMySDnR8iojVc6SZQgq0lftnAz/Ktnr555EC8eheFbJADrJmZpZ0ZlrFruKOT2ZmZm3imqyZmSWd6fjUVTpek5W0qqTLJb0i6VVJV0haLWfe1SSdJ2lqtpbgo5JGS1q63eU2M1vodWapu67S0ZpsNoj4VtLkzXuQ/klHk5Yh+nhEzKqTd2ngZtI4qZ8AU4FPk3qjfYTURdvMzFrhQFmoTjcX70OaQmvtiHgcQNL9wGPAd4FT6+TdhBRMt4qIm7J9t0kaAhwsaakqqzOYmVle7vhUuE43F28PjC8FWIBs9o07gB0a5F0se321Yv/LpM+xQHdvMzOzvtTpILse8GCV/RNpvMbfzaQa74mShklaRtIWpMHGZ9ZrajYzsxw6sGh7t+l0c3G99QCXq5cxIt6U9DngT/QsvgtwNvD9wkpoZtatOrgKT7cYMEN4JC0BXAKsAOxO6vj0GeAo0q/F/jXy7QvsC/C+jpTUzGyAcpAtXKeD7Eyq11hr1XDLfQfYDFgrIp7I9t0u6RVgjKQzI+K+ykwRMQYYA7CyFJXHzczM2qXTQXYi6blspWE0XuNvfWBmWYAtuSt7XZc0WbSZmfWGexcXrtMdn64GNpK0ZmmHpNVJw3OubpD3eWA5SWtV7P+v7PWZgspoZta93PGpUJ0Osr8FpgBXSdpB0vbAVcDTwFmlRJKGSpor6aiyvOcCrwHXS9pD0uaSDgFOBu4hDQMyM7Pe8oxPhetokM2G2WwBPApcAFxEWnh3i4h4vSzpAmsJZksfbQT8mzRL1PWkyS3GAFtGxDsd+AhmZgsvB9nCdbx3cURMBb7WIM0Uqq8l+BCwc3tKZmZmVqwBM4THzMzazB2fCucga2ZmiZe6K5yDrJmZ9fBz1UJ1fD1ZMzOzbuGarJmZJZ5WsXAOsmZmlrjjU+EcZM3MLHHHp8I5yJqZWeLm4sK545OZmVmbuCZrZmY9XJMtlIOsmZkl7vhUOAdZMzNL3PGpcH4ma2ZmSYdW4ZH0IUn/J+mfkt6QFNna4o3y7ZmlrbWtVJZ2bI00B+W9HUVwTdbMzDptLdKKavcAfwO+mDPfdcBnK/YJuAZ4MiKerzh2P/Ddin1Tmippixxkzcws6dwQntsjYkUASXuTM8hGxHRgevk+SZ8H3g8cXSXLaxExvsWytsRB1szMkg51fIqIdwo83R7AW8DFBZ6zMH4ma2ZmPea1uHWQpCWBnYBrI2JGlSSflPSKpLcl3S/pO50toWuyZmZWrOUlTSh7PyYixrTpWl8B3gucV+XY7cBFwKPAssC3gLMlfTAiRrepPAtwkDUzsx7R8hlejIjhBZQkjz2AF4DrKw9ExFEVu66SdCUwUtJpEfF6Jwro5mIzMxtwJH0Q+G/gDxGRt7vWxcASwPptK1gFB1kzMxuIdgMGUb2puJHW6+s5OciamdlA9C3g/oj4dxN5dgVmAw+0p0gL8jNZMzPrOEk7Zj9umL1uI2k6MD0ixmVp5gLnRcR3KvJ+CvgY8OMa5/48cBhwBWnyifeRnt9uDxwWEbOK/TS1OciamVmmoysEXFbx/ozsdRywWfbzoGyrtAdp2oyLapz7OVJL7ShgedKHuh/4ZkR0dDytg6yZmWU6N+VTRKi3aSLiQODAOvkeB7bpfemK4yBrZmYZr3VXNAdZMzPLdK4m2y3cu9jMzKxNXJM1M7OMm4uL5iBrZmYZB9miOciamVkZP5Mtkp/JmpmZtYlrsmZmlnFzcdEcZM3MLOMhPEVzkDUzs4xrskVzkDUzs4xrskVzxyczM7M2cU3WzMwybi4umoOsmZll3FxcNAdZMzPLuCZbNAdZMzPLuCZbNHd8MjMzaxPXZM3MLOPm4qI5yJqZWRk3FxfJQdbMzDKuyRbNz2TNzMzaxDVZMzPLuCZbNAdZMzPLeAhP0Rxkzcws45ps0Rxkzcws45ps0dzxyczMrE1ckzUzs4ybi4vW8ZqspA9J+j9J/5T0hqSQtHrOvItIOlzSFElvSrpP0tfaW2Izs25Rai5uZWusxTgwJUtfuX2lStp9JD0iaY6kSZL2y1XAAvVFc/FawM7ATOBvTeY9DjgGOB3YBhgPXCbpS0UW0MysO5Vqsq1subQSBwBuBD5bsY0rTyBpH+As4E/A1sBlwBmS9u/F9XqtL5qLb4+IFQEk7Q18MU8mSSsABwMnRMTJ2e7bJK0FnABc347Cmpl1j451fOpVHCjzYkSMr3VQ0mDgp8AFETEy232bpJWB4ySdHREdaRfveE02It7pZdatgMWACyv2XwisL2mNlgpmZmYd0UIcyOuzwAdYMF5cALwf+Fybr/+ugdS7eD1gDvB4xf6J2euwzhbHzGxh07Hm4lZtlz3LnSNpfJXnsetlrw9W7O94vBhIvYuHAC9HRFTsn1F23MzMem1AjJO9BrgbmAysCHwfuFLS7hFRqrmW4sHMirwdjxcDKcj2iqR9gX2zt3OOXfCbTbdZHnixrwvRx3wPfA9KfB9g7Z4fn7sRjlm+xfMtIWlC2fsxETGmxXO+KyIOKH8v6UpSJ9jjWbB5uM8NpCA7E1hWkipqs6VvJDOq5CH7xx0DIGlCRAxvbzH7N98D3wPwPSjxfUj3oPRzRGzdl2XpjYiYJ+ky4ERJH4yI5+ipwS4HPFeWvG68aIeB9Ex2IrA48OGK/aW29Yc6WxwzM+tnShWw0rPX9SqOdzxeDKQg+xfSU/VdK/bvBjwYEZM7XyQzM+tL2XCdrwNTI+L5bPc/SY8BqsWLGcAdnSpfnzQXS9ox+3HD7HUbSdOB6RExLkszFzgvIr4DEBEvSDoVOFzSa8C9pBu7BbB9zksX9lxgAPM98D0A34MS34c+uge9iQOSvgHsQJoX4WlSx6f/AT4FfKN07oh4W9JPSJNPPAPcTIoVewEHRMRb7f58JVqws24HLirVuui4iNisLM15EbFnWb5BwOHAPsBKwCRgVERc3tYCm5lZoXoTByRtBPyM1Aw8BJgFTABOiogbq1zju8CPgaHAVOAXEXFGsZ+kvj4JsmZmZt1gID2TrUrSqpIul/SKpFclXSFptZx5l5B0kqTnJM3OJqvetN1lLlpv74Gk4ZLGZBNovyFpqqSLBuLsWa38HlSc57BssvG/t6Oc7dbqfZC0rqTLJL2Y/Z+YJOnAdpa5aC3+TVhN0nnZ/4XZkh6VNFrS0u0ud5FanIDfC7EUaEAHWUlLAbcC6wB7ALsDHyHNUZnnP8U5pKbno4BtSV29b5S0QXtKXLwW78EupGaXX5EWXDiM9GxjgqRV21boghXwe1A6z5rAkcAL7Shnu7V6HyQNB+4k9eLfG/gScAowqF1lLlor9yA7fjOwKfAT0uc/m9Tc+Ls2FrsdvBBLfxERA3YDDgTmAWuV7VuDNGXJjxrk/QSpu/e3y/YNJj3nvbqvP1uH7sEHquwbCrxDetbd55+v3feg4jw3klbtGAv8va8/V4d/FxYhDWu4sq8/Rx/egy9mfxO+WLH/hCz/Un39+Zq4D4uU/bx39rlWz5FvBdL0tcdW7L8FuL+vP9dA3AZ0TZbUq3h8RLw7n3GkoTx3kHqgNcr7NnBJWd65wB+BrSQtXnxx26LX9yAiplfZ9xQwHVil4HK2Uyu/BwBI+iapFn94W0rYGa3ch82AdYFT21a6zmjlHiyWvb5asf9l0pcQFVXIdgsvxNJvDPQgux7Vp0mcSOMJoNcDJkfEG1XyLkZqbhkIWrkHC5C0Lunb7MMtlquTWroHkpYDfgEcGhEdmwmmDVq5D6VVSZbIJlx/W9ILkn4laclCS9lerdyDm4HHSDMHDZO0jKQtSLXjMyNiVrFF7Ze8EEvBBnqQHcKCE0BDGmy8XAt5S8cHglbuwXyyQd1nkmqy57RetI5p9R6cBDwKnFtgmfpCK/dh5ez1EuAmYEvg56Smxj8UVcAO6PU9iIg3SV82FiEFlddIzaTXkiah7wZeiKVgA2nuYmu/04GNgS9HRLU/VAsdSZ8HvgV8qsoflm5S+sJ9YUQclf08NhubfoKkdSNiILVuNE3SEqQvGSuQOkxNBT5D6hg5F9i/70pnA9VAD7Izqf7ttNa32cq8Q2vkhQ5OIN2iVu7BuySdQFqtaI+IuKmgsnVKK/fgLFKtfZqkZbN9g4FB2fvZETGnsJK2Vyv34aXs9a8V+28idfz5JAPjEUIr9+A7pGfTa0XEE9m+2yW9AoyRdGZE3FdYSfunXi3EYrUN9ObiiSw4ATSk5waNJoCeCKyRdfmvzPsWCz6T6K9auQcASBoJ/C/wg4i4oMCydUor92BdYD/SH5fStgmwUfbzQKq9tPr/oZ7edqTptFbuwfrAzLIAW3JX9rpui2UbCLwQS8EGepC9GtgoG98IQDbgepPsWD3XAIsCO5XlLU00fdMAqr20cg+Q9ANgNDAyIk5vUxnbrZV7sHmV7T5S55nNgYE0ZWcr9+EGUoeXrSr2l5Y+m8DA0Mo9eB5YTlJlp8f/yl6fKaiM/ZkXYilaX48hamUDlibVOB8gdc/fnvQH8klgmbJ0Q0nPVI6qyP9HUm1lb+ALpD+ob5Kez/X552v3PSBNRvEO6Q/sRhXbsL7+bJ36PahyvrEMzHGyrf5/ODrb/zPgv0mTk8wGzu3rz9aJewCsThq+8yhpIovNgUOyfRMoG3s6EDZgx2z7DWmc7P7Z+xFlaeYC51TkOyH7O/gjUvP5b7K/E9v29WcaiFufF6DlDwCrAX/K/iO8BvyZikHX2X+eAI6p2L8kaVzg89kv1Z3AZn39mTp1D0i9aaPGNravP1enfg+qnGtABtlW7wNpHOiPsiD1FvAUMApYtK8/VwfvwTDgUtIKL7OzgHsysFxff65e3IeG/7ez9+dW5BtEmvnsKVLrxv3Ajn39eQbq5gUCzMzM2mSgP5M1MzPrtxxkzczM2sRB1szMrE0cZM3MzNrEQdbMzKxNHGTNzMzaxEHW+gVJl0iaIWmliv2DJN0t6bH+tOSapNUlhaQ9y/btKWmvKmn3zNKu3sEilq69iKR/Szq4bN8xWXnaNne5pIMkPSDJf2Osq/k/gPUXB5AGxp9Rsf9gYENg74iY3fFS1fYc8FngurJ9ewILBNkszWezPJ22G/BBFryv7XYW8AHSzElmXctB1vqFiHgB+CHwVUk7AUj6KHAMcFZEjOvD4i0gIuZExPiImJ4j7fQsbV/Mh30wcH5EvNHJi2ZfiM7Prm/WtRxkrd+IiPNJE5SfLml50hJ004FDG+Uta5LdVNKfJb0u6SVJv65sZpb0QUnnS3pR0hxJ90varSLNSpLOk/RsluY5SddKWiE7Pl9zsaSxwAhgk2x/ZPuqNhdLWlTSaElTJL2VvY6WtGhZmtI1vitpVFaGlyVdI+lDOe7Jf5FWlmm46LqkrbN7dnrWxFy69n6Sjpf0vKTXJF0oaSlJa0m6McvzuKRqNdY/AsMkbdzo+mYLq4G+nqwtfL5LWm7rTmBN0gLyrzWR/0LS3LNn0LPg9tKkplwkLQ2MI605egRpjtrdgAskLRURY7LzXECaRP6QLM2KpEUkKpdGLPledu1B2WeANHduLecBO5Mm4/87sDEwMvvM36xIezjwD1JT9ArAKdm1Nqtzfkgr6LxGmiC/JknfAs4GRkXE6Gxf+bXHkpp9hwE/J00W/0ngt6R5ffcHfi9pQkSUL5n37+z6W2flN+s+fT15sjdvlRtwPOn57J+ayLNnlufMiv0jgXnAR7P338/SbVaR7mbgBWBQ9v510vq6ta63enaePcv2jaXKwgJlZVs9e/8xqk9Of2S2/+MV1xhbke7gbP/KDe7JDcAdVfYfk+UfTGoleJv0zLva57u1Yv8V2f7dyvYtR1rN5egq1/obaenIPv+98uatLzY3F1u/Ium9wO6kP+SflvSeJk9xacX7P5Iei3wme78p8ExEjK1IdyGpo05pceq7gUMkHShpfZVV7Qqwadk1K8sAqdm53PUV7x/IXldrcJ2VSc3ttfwCOJa0wsrZNdLcUPH+kez1xtKOiJhJ+oKyapX807NymHUlB1nrb04i1Yy+TGoaPb7J/P+p8X6V7HUI1Xv5Pl92HODrpEW+DyUt9fWMpKMKGpJSukZlOSrLUDKj4n2pA9USDa6zRFnaar5BWpz+5jppZla8f6vO/mrlmU1aUtKsKznIWr8haTNgH+DIiLgBGA3s32THmRVrvH8me50BrMSCVio7TkS8EBH/ExGrAOuQ1t49lp7nra0oBc3KcqxUcbxVL5G+sNTyBVJt+AZJyxR0zUpDgBfbdG6zfs9B1vqFrAfwb0nNtL/Mdp9I6gR1tqTFcp5q54r3u5A66tyZvR8HfEjSJhXpvklq8nyo8oQRMSkijiDV3j5W59pzyFdru72sbOV2zV7H5jhHHo+QOlLVMpHUeeojtC/QrgFMasN5zQYEB1nrL0aRevPuHRHvAETE28DewNqkDkx5fEnSSZK2lDQSOJo0TvSx7Pi5wGPAFZL2zoauXABsCfwkIuZJel82y9RB2fEvSPoVqVZ4U51rPwR8TNLXJQ2XtHa1RBHxIHAxcIyko7OyHkXqkHRxRDxQLV8v3A58WNL7ayWIiIdJgfbDwI29eAZek6RlgY/S86XCrOt4CI/1OUnDSRNR/KwywETEXZJ+CRwm6dKYf4hINbsBPyYNK3mLVDt+d0KEiJglaQRpKMoJwHtINa3dI6LU8ehN4F5S0/VQUk14ErBrRFxV59onkr4QnA0sQ6o1b1Yj7Z7Ak6RhOUcCz2b5j23w+ZpxFemzbEsaMlRVREzK7sltwE2Stiro+l8m/RtcWdD5zAYcRURfl8GsZdmkEL8HPhIRj/dxcfoNSecCH4qI/9/OHdMgEERBAJ01QfBAQ4ECgg3EoAoT9JQYOA+f4jT85XK8Z2DKyZ9N9vaD7GeSparus7NhK1yysG+PJO8xxqWqXrNCxxjnJNckp1mZsEXeZGHHquqTdZo+TI4+Zv2ow6rAXzMXA0ATlywANFGyANBEyQJAEyULAE2ULAA0UbIA0OQL/uywQEB3L8QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "from examples.seismic import plot_velocity, plot_perturbation\n",
    "from scipy import ndimage\n",
    "\n",
    "# Create true model from a preset\n",
    "model = create_model()\n",
    "\n",
    "# Create initial model and smooth the boundaries\n",
    "model0 = create_model(grid=model.grid)\n",
    "model0.vp = ndimage.gaussian_filter(model0.vp.data, sigma=filter_sigma, order=0)\n",
    "\n",
    "# Plot the true and initial model and the perturbation between them\n",
    "plot_velocity(model)\n",
    "plot_velocity(model0)\n",
    "plot_perturbation(model0, model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Acquisition geometry\n",
    "\n",
    "Next we define the positioning and the wave signal of our source, as well as the location of our receivers. To generate the wavelet for our source we require the discretized values of time that we are going to use to model a single \"shot\",\n",
    "which again depends on the grid spacing used in our model. For consistency this initial setup will look exactly as in the previous modelling tutorial, although we will vary the position of our source later on during the actual imaging algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "# Define acquisition geometry: source\n",
    "from examples.seismic import AcquisitionGeometry\n",
    "\n",
    "# First, position source centrally in all dimensions, then set depth\n",
    "src_coordinates = np.empty((1, 2))\n",
    "src_coordinates[0, :] = np.array(model.domain_size) * .5\n",
    "src_coordinates[0, -1] = 20.  # Depth is 20m\n",
    "\n",
    "\n",
    "# Define acquisition geometry: receivers\n",
    "\n",
    "# Initialize receivers for synthetic and imaging data\n",
    "rec_coordinates = np.empty((nreceivers, 2))\n",
    "rec_coordinates[:, 0] = np.linspace(0, model.domain_size[0], num=nreceivers)\n",
    "rec_coordinates[:, 1] = 30.\n",
    "\n",
    "# Geometry\n",
    "\n",
    "geometry = AcquisitionGeometry(model, rec_coordinates, src_coordinates, t0, tn, f0=.010, src_type='Ricker')\n",
    "# We can plot the time signature to see the wavelet\n",
    "geometry.src.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# True and smooth data\n",
    "\n",
    "We can now generate the shot record (receiver readings) corresponding to our true and initial models. The difference between these two records will be the basis of the imaging procedure.\n",
    "\n",
    "For this purpose we will use the same forward modelling operator that was introduced in the previous tutorial, provided by the `AcousticWaveSolver` utility class. This object instantiates a set of pre-defined operators according to an initial definition of the acquisition geometry, consisting of source and receiver symbols. The solver objects caches the individual operators and provides a slightly more high-level API that allows us to invoke the modelling modelling operators from the initial tutorial in a single line. In the following cells we use this to generate shot data by only specifying the respective model symbol `m` to use, and the solver will create and return a new `Receiver` object the represents the readings at the previously defined receiver coordinates.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute synthetic data with forward operator \n",
    "from examples.seismic.acoustic import AcousticWaveSolver\n",
    "\n",
    "solver = AcousticWaveSolver(model, geometry, space_order=4)\n",
    "true_d , _, _ = solver.forward(vp=model.vp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute initial data with forward operator \n",
    "smooth_d, _, _ = solver.forward(vp=model0.vp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAboAAAGDCAYAAABdgtXgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzsvXn0LUV5NvrU4RwmUTkIiIdBJkMYRT0ixglRlBjFRGOMWUsxUTFfrn7x5nrVex2D841X8n2JSTx8ma7mJl5NViBZSZyn8IWAIpCAqMBBcARklPlw6v6xf7vPs9+z33e/XVXde+/e9az1W7/e3V3d1d1V9dQ7VogxoqKioqKiYqhYN+8KVFRUVFRUdIlKdBUVFRUVg0YluoqKioqKQaMSXUVFRUXFoFGJrqKioqJi0KhEV1FRUVExaPROdCGEg0MInwoh3B5CuCOE8HchhEOcZXcPIfxeCOGHIYR7Qgj/FkJ4etd1rqioqKhYXvRKdCGEPQF8AcDPAjgTwMsBPAbAF0MID3Fc4k8BvAbAOwA8H8APAXw6hHBiNzWuqKioqFh2hD4DxkMIvw3gwwCOijFevbbvMADfAfCmGOOHjbKPBXApgN+IMf752r71AK4A8K0Y4xld17+ioqKiYvnQt+ryDAAXjkkOAGKMWwFcAOCFjrIPAPgEld0G4G8APDeEsFv56lZUVFRULDv6JrpjAfznlP1XADjGUXZrjPHuKWV3BXBkfvUqKioqKoaGvoluHwC3Ttl/C4CNGWXHxysqKioqKiawft4V6BohhLMAnAUAGzZseMK+++475xpVVFRULA5uu+023H333QEATj/99HjzzTdnXe/rX//6p2OMpxepXCH0TXS3YrrkpklrsuyjlbLADsluAjHGLQC2AMCmTZviWWed5atpRUVLhBDUYx6nr9zyFRUp2LJlS7N988034+KLL8663rp16xZOmuhbdXkFRrY2iWMAXOkoe9haiIIsez+Aq3cuUlFRUVGx6uib6M4HcHII4fDxjhDCoQCesnbMwj8A2ADgJVR2PYCXAvhMjPG+0pWtqJiFEELzx4gxTvwxtm/f3vx5y2j3qagoDdkO2/4tIvomunMBXAfgvBDCC0MIZwA4D8ANAD46PimE8OgQwrYQwjvG+2KM38AotOD3QwivDiE8C6PQgsMAvLPHZ6hYcaSQDg8ETHQpA0QlvYouMUSi69VGF2O8K4RwKoBzAHwMQADweQBviDH+lE4NAHbBzkT86wDeC+A9APYGcBmA02OMl3Rd94qKWbA6OUtvvM1ktcsuu6jXq6RW0QcWmaxy0LvXZYzxegAvnnHOdRiRndx/D4DfWfurqOgFKSQjB4sHH3yw2d62bdvUMuvWTc7rPPedpjKtqKiYxODDCyoquoRGLHI//37ggQeabZbiptnlph2r0l1FlxjiZKkSXUXFFORKcVJqu+++Hb5S99xzz9T7yHtu2LChdX00cqyo8GKI7aYSXUVFS3ikOHkOEx8T3a677qqW0aS4Kt1VdIlKdBUVA0auFMdOJqyeBICf/nSHr9VPfvKTZptVl0x68pgl+Wmo0l1FCobYVirRVVTMgLfjW0R39907cpHfeuuOJEB77bVXs/3Qhz50ogwTn/TI1OpWJbyKip1Ria5ipZFLDExurJ5kYgOAG2+8sdneunVrs73bbjtWl5JEx8eY6DTSs1CluwoPanhBRcUKwersfIzDBu6///5m+4477pgoc8MNNzTbP/zhD5vthzzkIc32fvvtN1GGj61fv6OrchiCFV5QpbuKFFSiq6hYcpQY/DW7nEV0P/rRj6Zei/fLMo94xCOa7d13333q/VOep0p3FRaG2CYq0VVUrMEbE8cqSia3O++8s9lmqQ2YdEbR9ssyvKQUEx1LdByCAFTvzIp8VKKrqFhC5A7y3uDvu+66q9lmm5wXsgxfb++992622XaX64xSM6tUrAIq0VVUTIGmngQmJTqN3KR05oEsw9djomPpTjqmpIQhVFQwhjjZqURXMUh4B3mPulISHUtxHPzN8XElwNfj+/D9pepSc1TxqjGr/W61Ub0uKyoGDi2ziUznpZHbtddeW7Q+fL2DDz642X7Ywx7WbFtB5tVGV5GCSnQVFQsMz2Du7cTWagP33ntvs83B3+yYUgJ8Pb7Pox71qGabQxAAPQyBUaW7ilVDJbqKijVoa8YxsQHAbbfd1mx/73vf675i4j6bNm1qtiXRsYTHz5ASZF6xmhjipKYSXcVSI1eK8wR/s8MJMOkkosXHlQbfR3NSAfQwBI/tTh7T9g9xIKzYgSF+30p0FSsNj11OpvO65ZZbuq+YAb6/rNvDH/7wZlt7tmqvq9BQnVEqKhYAJb0pAT0RMxOI9Ka87rrrXHXoCnz/Aw88cOIYE52WFNoKQfAQYo29GzaG+D0r0VWsFCyi06Q4dgQByjudtIXmpAJM1ptXRuDntHJlVlQMEZXoKhYeXcbEaQuizsPhJAWybuyRyashsHRnEV2NvasY4jesRFexUrCIjr0rb7/99mb75ptv7r5iiZB143rzagjaSgjVG7NCohJdRUVPKJmfksmNPSsBndx+8IMfZN3fwp577tlsS2eSXHC9NaLjbCqS6HLVmlW6W34M8btVoqtYang6pRZCAEwSHS+T06UU9/d///fN9nOe85yi1+Z68/Pss88+zTYTrXdQq16bq4HqdVlRsUTQnEzuu+++ifN4aR2OT9OW1UnF+eef32yfdtppU/efccYZ2ffhevPz8Np2mhoTmCSxqtasGAoq0VUsDEoGf3sCwYHJYPDSSZkZL3jBC1rtLwF+Hn5OfgccYA5MEp8mxdUg82FjiN+qEl3FYOAhN5bgAOCmm25qtktmOfn0pz+dXea5z31uVh34efg5tSV/AD1XZlVXrg4q0VVUFERu2IA8pqkrtbABAPj+97/vqoMHJ554YrOdYnuTZfh6l156aXrFMPmc7KTCsXZADTKvGOa3qURXsdTwEJ3mcAKUdTp5/etfX+xa8nqvetWrsq6lOanIhNWad2aV7iqWGZXoKnpF6RReWn5KLWxAqic57VcKjjzyyGb7N37jN7KuJcHXe//7399sX3311a2vxc/J74CdVABfGIJlo6tB5suPIX6PSnQVSw1t3Tj2rmS7XOmEzC9/+cuLXs9zn3e+851Z1+J3IG2W/N722GOPZtuzzl3F8qOGF1RUJKLLFF7aunGsnmNHDJkbMgWPfOQjm+13vOMd2dfzgO/zR3/0R832j3/849bX4nfA7waYjLdjRxVtnTvAtwRQle6WB0P8BpXoKpYKshOyFMfqOXanLy3FvehFLyp6vZz7//Ef/3HWteS74ffG75Pfs4y9qxgWKtFVVDhR0mHBSuHFoQMcLM2SSm46L06ODAAf/OAHs66XC77/xz/+8YljUhU5C/LdcFJoDkNgNSbb7oCyQeZVuhs+Qgi/DOBlADYD2B/A9QD+DsD7YoztGrATlegq5obc4G9AXwlchhHk4HnPe97Eb0l8fYPvL+v2iU98Iuva/N74ffI6dzL2TnNUSQkyr5g/ephgvBEjcvs/AXwPwOMAvAvAM0MIPxdj3G6UTUIluooiKD1weTObsBTHmUBy4+NYPffWt74161pdQtbtb//2b5ttVjd6we+NbZEPe9jDmm2L6EqGIdTYu/mgh/f8ghgjG4e/HEK4BcBfAjgFwBdK37ASXUWvKBn8DUyGDrBjhowPa4vXvva1zfbxxx+fda0uIevG9f7IRz7S+nr83vh9spMKhyAAehhCbpB5Rf/ow+tSkNwYF6/9P7CLe1aiq0hGl1KcNykzS3QlPCrH6DIHZZfgeqcQHYPfJ79n+Q34+3QZZF7td/1gTu/2GWv/v9nFxSvRVXSO3OBvHlhlZhN2Osn1rnzZy17WbOfmmbTA9WRJqQS43vw8f/3Xf936WlxPfs8bN26cOI+X/ekyyLximAghHAjgbACfizF+rYt7VKKrmBvk4KcFf7M6jR0kgLJS3Omnn17sWhY+9KEPNdvve9/7OrsPP08K0TH4PctvwN+H7Xds55QEVgltcVFAots3hMCEtSXGuGXaiSGEvQCcB2AbgF/PvbGGSnQVrVAy+NsiOi1sQOamzA0deP7zn99sv+IVr8i6loUPfOADzTan82Inj7e85S1F78nP88lPfrLZ/sd//MfW1+L3fMABB0wcY49Mj3QH+Lwza5D5fFDgfd4cY9w866QQwh4A/gHA4QCeEWP8Xu6NNVSiq5gbvER39913N9slwwYA4NRTTy16PQ3sDantL010DH7OFKJjyG/A30db666S0fKgj28VQtgA4FMYxdKdFmP8jy7vV4muYiZKLoiqOZkAuhTHYQM//OEPZ9bFwimnnDLx+7d+67eyrqfhD/7gDyZ+f+1r000PvF+WKbkaAj8nr2r+pS99qfW15DfYf//9m20tDMFaydyTQkwe0/ZXQl18hBDWAfgrAKcCeH6M8cKu71mJrqJXWHkrPVKcDC9oi6c97WkTv3fbbbes62n4/Oc/n12mJNHxc/I7SCE6+Q34+3ikO6AS0qKip6TOHwHwEgDvBXBXCOFkOva9LlSYlegqdsK8gr/ZyYGdH1ISFzM2b95hLnj1q1+ddS0LnJXkH/7hH1qXl2X4ei996UvTKybA7+Cf//mfJ45pkqcF/j4s3XEGlxpkvjzo4Z39/Nr/t679MX4XoywpRVGJriIZuepKGdTNoQM33nhjs53rWclu9occckjWtST4GT71qU8121Ja9UCW4eu98IUvbLYlabQFvwN+N0Aa0fH34e/GuTJrkPnyoIeA8UM7vcEUVKKrADCf4G9JdCzRccaTFBx33HHNtrTLlcRXv/rVZvs///M/i16br8f3Oe2004rdQ74bfm8pz8Pfjb+n/NZakugaZD5/DPE9VaKraAVv8Lcns4kM/ubQgVynE17K5vGPf3zWtSywY8dVV11V9Np8Pb5PSaKT74bfWwrR8XfTnFQAPQzBIroaZF6Rikp0K4ySA4SX6Hhmb+WtTMERRxzRbEunk5L493//92a7NLlp4Pvw/Z/0pCcVvQ+/N36f11xzTetr8feU39oTZC5XMi9pvxui1FIKQ3w3legqZqJk8Ders2Twd67TyRlnnNFsP/vZz866lgV24CitrtTA9+H7lyY6fm/8Ps8555zW1+Lvue+++04cYwmvryDzitnoyeuyd1SiWzF0NRDIdeI8wd9ykdCU0IGDDjqo2X7yk5/curwHksy+9a1vNdsc49cl+D58f1k3trHlgt8nZ1b53vd83t/8PeW39oQhyDYlJbwcVOlOxxDfRyW6ip2Q4k1pxcRpKwzkSnAA8PM///PN9kte8pLs603DZz/72YnfTC4PPPBAJ/eU4Pvw/WXdShIdv0++z7nnntv6WvJbs4SnhSHIIHNuY7lB5hU6KtFVLCW66uzelb95Zs92mxSbHDs4AMBJJ53U+hoebN26tdn+9re/PXGsLylOA99f1o3rfdhhhxW7J7/n8847b+IYhxRokN9as99xu5HB/JL4SqFKd8NH70QXQjgYwDkATgMQAHwOwBtijNfPKLcZwFkAng7gEAA3A/gqgLfFGLdaZStmw9vBNXKTko2W2YTtcimDyrOe9ayJ3yUDqRmf+9znmm2pHsxdDigXfH9ZN673a17zmmL35Pf8hS9MLgDtWRlBfmtuBx7pDtAdVayJXLXftccQyb5Xogsh7InRMun3ATgTQATwHgBfDCGcEGO8yyj+qwCOBfDfAVyB0Uq0bwfwtRDCiTHGGzqt/BJhHjFx0r7GoQM8qKWoK4888shm+xd/8RcnjvHAmItLL7202b7ooouabWmTkhldxuD3zg4WwOSgzYM0v08Za8aTBf4GfH9ZN673E5/4xGb7xBNPnFpnL/g9y29w8cUXN9tXX32163qaowqvhMCxdkBakHlb1Mwqw3zmviW612C0JMNRMcarASCEcDmA7wB4LYAPG2U/KJdgDyFcAGDr2nXf0UmNK1xEZ6XzYtJL6URsdzr55JONM/PA0tH3v//9Zluuv8Zg0mJyk5lAWA2nEZ2V+FgjPVk3rjc/Ty7RMeQ34O/jJTp+Bm4f/DyyTfW1kvkqo3pdlsEZAC4ckxwAxBi3rhHWC2EQnSS5tX3fDSHchJF0t9JI6eAlg7+lVx2r1zw2HAlOU/ULv/ALU/eXAHswcvqrG27YoSCQktauu+7abLOkttdeezXbkui4jEZ0cmBn4mMJhusj68b15udh6e6oo45CDuQ34O9zySWXNNvXX29aIxpw+9CkOyAtm0puGEK13w0DfRPdsRitJitxBUbZrFshhHA0gP0BfDOzXhWElOBvljiAyVm6HIw9OProo5vt0rFijCuuuKLZZjUgE7d8HxrR8UAs7UseopPu89p75/2yblxvfh5+zlyik+Dvw9/NS3TcPrjdyDY1jyDzVcQQCb1votsHwLQMvbcA2NjmQiGE9QD+BMBNAP40v2qrga6Cv6WDxk037SSAz8SjHvWoZvv0009vto8//vjW19Jw3XXXTfxm+9J3v/vdZpsHWRm4zIMs265YipP2JU0643drqS41WHY9fh5+Tk77deihh868xyzw9+Hvdvnllzfb3pRu3G4e8YhHTBzjd12DzLtDJbrFwh8C+DkAvxBjVNPbhxDOwshbcydVyLJj3sHf7IDCsXLAznksPfiZn/mZZpuX1imJK6+8cuK3JsVZtjO2t2nbLMEB+rI02rasg2YPlYvXchlNuuN3UILoGPzd+Ht6iY7bjWxTWhhCDTIviyE+W99EdyumS26apDcVIYQPYEReZ8YYP2OdG2PcAmALAGzatGl4X9ABjxSXG/wtJThPZ9lvv/0mfnP6qac+9akzy3vBgyxLNsCkhMfPxoOaVEOyNKGpKyXRMVlqA6YkLQZ/Ex7M5bdiCY+fh5+T38HjHve4ifIsVaeAvxt/TznB0CR+fh/ynI0bdwwdbA8tGWRepbtKdCVwBUZ2OoljAFw5Zf9OCCG8FcCbAbw+xvixgnVbCsw7+FsbSFMkOE4aDHS3ysA3v7nDhMvOGsBkjJ+mRpSkxb95m6U2qUKTv6dBDjBcRrunrBuTJT8PPye/A343QD7RMfh7ym/tUW3LNsXtjdthDTKvmIW+ie58AB8KIRweY7wWAEIIhwJ4CoC3zCocQvivGMXdvTXG+Icd1nOpkZLCy1r52xP87XU44Vn5M5/5zIljz3ve81zX8IBthpzt/9prr504T6rHxmACkfY2/q2RjhxgtbivlEB9vr+clGgqTn5Ofgf8boDJMIR99tnHVTcN/D3/9V//deIYe7tqC+vKNsXtTZPuLKLj915TiE1HDS8og3MBvA7AeSGEt2EUMP5uADcA+Oj4pBDCowFcA+DsGOPZa/t+FcDvA/gXAF8IIXAwzx0xRpdEuGzosqPxIGktiMq2HiYQufqAB2zD4TyVpcELlbLaTEoSTAY8KLI6TKou2fmBtzWHE8A/sGrQ7HWybpyhRgtd4HcgVYr83nhV81zIb82hDzJfpwZub+yoYgWZ8+RDI7pcDC3IfNnrPw29El2M8a4QwqkYpQD7GEYpwD6PUQownloHALsA4NZ4+tr+09f+GF8GcEpH1V4KpEgGDCv4W1txwCvFsbfcMccc02w/4QlPcJX3gqUWXj+NB3ZrhQQmKo3A5DGPkwmgT1iswZe/Fd+H7y9Tr2n11pyIJPHze+P3yVJTCuS35nZw4YUXNtsyHpPB7Y3P01ZCAPQgc69dbhXtd5XoCmAtp+WLZ5xzHUakxvteCeCVXdVrkTCPFF7aIAJMSnEpCY3Z4eE5z3lOsy3TZOWCpRHOCsLppjjIHdDtYCwp8QApf2tEJ7+hR4KQjiVcRiM6WTeuN5MgS+/8DmRKNn5v/D5zpW/5rbkdfOMb32i2v/KVr7iux+2QVawyJZz2HbVvVaLvLbv9bhnrPAvLHF5Q4YSH6Hjwk4G6PLO3ZtwMjin72Z/92Wa7tMMJ15vTT3G2DS19FuCT4iSZaJKbNUimDKCatMfbsm5MbnyMJR0+R35rfm/8Pvk9SztYCrgdcPv4+te/3mxbqde4HXL7lM/D9Wa1ZkqC6IrlRSW6BUFfKbx4Zq9lNpHOATx7llKHBg4i5hUHDjjgAFd5L9jJgaWRH/3oR802q+qkZMVSHA/glurSI8VJG53n+8oy/K006c5Sq/LzaNKdVOXye+P3ye9ZriCRAm4HfD0OMmeVpgS3Q26fe++998R5vJJ5W+lO/l6VFGLLUs82qEQ3QFhExwOeNrOXnogeKU46AXCwcMmEwvLZWOpgNRxLA/z8UgJiotC2vY4lJR0c5PX4uTXSA9o/j7Tx8Xvj98nv+dRTT50okysFcfvgdnPZZZdNnKfZVzXpDphs16zW5OfWJi7A6kl41euyoji6kuK8RMeDGi+EKSU6j9MJOxcAwCmnnNJs8+CVC7YbAZODIWfu5wGO37OUgDzhAV6is2w9JZeP8RKd9mxWZhV+b/w++T3Lb/D0pz999gMY4PbB7YbzcwKTak0Gt0/Zdtl+pwWZ87uRfadkCrFlke4WuW6pqEQ3QFgpvJjotOBvrx2OVWMyIPixj32sr7ItIZeBYVUbPwOTu6Xq0whNi3uTv71ODblEp0l38rraM3ilVW4r/D75PctvkEt0DG43sk2xKlU6FY0h264WZK6pcqVEV1pKr5gPKtEtOFKCv60UXlrwN3tWerOccBb8pz3taRPHSjqd/Nu//VuzLdVZP/jBD5ptTbXF6koZd8ZkrTkoWPa2eUh0li1Qy+7Cz8lSnJToNPsdv2f5Dfj7PPnJTzaeYja43cg2ddVVVzXbbMtjyLbL7Zrj7bQgc/k+26YQk8eWEVWiq8hCl2EDWvA3oIcOsJpHy04hwcZ+jo067bTTXOW94Jk452bkOC9gst783B4VHqA7nVhLv3icUbqU6CxwvTXbpPU+WNLh98nvWX4D/j7shJQbeyfblLbWHU/YJLje3Ha1IHPLw3ZVVjJfpLqUQiW6BURKQ7OSA2uhA7xtuXIzNm3a1Gzz2mOl1zjj2TsnJJZxfJoKK5e0LGJJkeg8SLH1SGjPoD2npcrVwk/kN+Dvw98tdwUK2aa4vXHqMovouF1rbV8LQQB2Jj4Plj3IvBJdRWvMI/hbDv4sHWnqSitzPrtosw1Fet/lgiXPiy66qNlmCUJKniyBaLFvWgiBLONVXXoIsYRth7+v1o6sZNGadKepMQE93o635Tfg78Pf7bjjjmu2pco4BdzeOMiclyCSqkt+Pm7vLN2xN6ZFdJrddkhB5tXrsqJTpKTw0uLjJNFpkptXiuOYJw7uLbkgKjCZ6JcXDWUJwvIA1SQVS6LzrA3ndTkvHXisrUTuTRvmeR5LotPIWn4D/j783fh7lnBO4vamBZlb9mWt7WvSHTBJfB57ncSyS3dDQSW6DlCyQVuhAloKL5kdgjs/z8Y15w2ZRumEE05otp/xjGc029K+0xbSO5TVUd/+9rebbR5IZdwXz7I9i6BacXQpRNflLF8bJC0vQY3oNGlXfgNPkLn8Bvx9+Lvx92TpDvAtWyTB35Hb4X/8x38023KBV7ZJc3vXbHesvQD0te68QeYpmLd0VyW6it7hJToefCSBtZXi9t9//4nfRx55ZLMtB6wcyLXQ2NbDmer5eaw12zwu9F41pDdvZUkbnReapCePeex13oBzPk+qO/n78Hfj7ym/dW474vLcPlmlCeihMlqfkH1Hc86xJN9ll9wq0VWo6Cv4W5tZa8HfwOTsVev47CF37LGTa+NynBQvj5ILtucAk9IAD5hsN0pJ4WWl8/I4bJQIGE+B1g689+F6MyFaeTw9KcSkRMffh78bf0/5rXOJjtsht0+57BBnd9FiRbl/sDcmMJmzVUshJtvHsgeZV6Kr6AXWat/aAqmsupRSm5YOi7Hvvvs224cffvjEMUl8OeDBj+05gL6Qq7ZcDaAP2tpAZK387ZXoUsgtZfUCz2BoSZvae7PeZ8pae1r+VP6e8ltzO8jNnMPtU7ZdjrfTEgpYGg/PSuayj/Yl2Vf4UYkuESUlOHlMczgB9OBvtsNJd2tNitNWGHjKU54ycd4hhxyi1rst2G7DruiAvpwOD97SLqjZ3zykB/hUnJZqquTqBV6nBssb03MfvpaU6HjQ9sbeaR6//D3lt+Z2kEt03D5l2+X78tp7TGjcP2TfYQmP+4uWaADwSeIpQeZ9xd5Via6iF1gSnZbCy5qVarFmnAfwsMMOa7Zl3spcXHvttc321q1bm2256Cc/Dw/mWg5KecyzTpyV5cQbHNyV6tI7kFk2Ou15tJRosn1p695Z34DLaFoG+a25HXD7kBJZW8i2y+2ac2dyH+H+YWlDPCnEgJ3fzzKhhhdUdCrFaaEC0h7CxnJtJmrlquRZKc+kOXVTaaLTpDi56CcPJJoUJ+OxNEnDq3bzeF2WSAGWAk0ySLH1aIOv3K+lkuN2KL+B5rDB31N+a24H3D5KEx23a1aXckydJt0Bk/3KI90Bk+/UK/0vkv2uEl1FZ9BSeMmYJbYzsNMJb8vwAu5gBx54YLPNy6PIvIK5YO+3Sy+9tNlmW40cVLiDaeRm5apMsS9p4QFe1WWX9hhtILOclXKuJX97g8w1RxWWlOS35nbA7YNV6LwyfSq4XXOOzhtuuKHZ5iTVsu9ofUxbCQGYbHtdLuPUFSrRrSBKS3Ge83ggYVUQoK84wJKeVGfx7JODvx/zmMc024ceeqirzl7w4MHLvfBgIaVVbTkdy2vSY2PzkpY3HZgnYNxCykxcs8t5y3sWcZX38YRuAPr30bKsAJPtgNsHt5sSRMftmts79wO+v1Rdcr/SVkKQfZT7L78br9S2SNLdUFCJrkd4Y+IsmwEPEOyAwjNROXhxp+bgb2m4zwEvoQJMSnQ8e+c6S0JmqUGT4qSayGOj83pdWoTIyE30mzIoaWXkO7SWF/JASwSttVX5WyM3aSfmdsDtg9sN57YE8kMSuL1ze2Wi49g/QHf44n7IE0kgfyXzeWOIRFmJrhA8jSMl+FuqLrnj8WyTZ+xSlfLIRz6y2ebgWjmQ5OA73/nOxG8ePNjOwc8mO7dH9Si9BNtKcd6YOO2k6DQOAAAgAElEQVScab9nlbeO5ZKehDdVmHZPLfZOc1IBfCEeUurhdsDtg9uNbFO5RMftnfsB9w9edw+Y7H/c37gfyj5aMsh8HinEKtGtCLpK4SVn31pMHEtxMnefZovjjrPffvtNlOE4IzbOp6RhYrBDgcxIwTNjrjM/s5TOmKA5x6C2GjTgW2bHu1q4RnreQSk3vMDruGRd1xOg7G3f3vUO+ftoEzZJdCzhcfvgdiPbFBMV2/K84G/P/YC9MXndPUBftZ7rLNOGaY4qmnQHdLcEUFvSql6XFUnwEp0mxUnjOM8qeVDhDiVTeLEnW8oAoYFn3JxBHtClOCuhsIe0vKpHr7ebh9y8AeO58BKlNRBpIQVaILnXZpmSNsyyrWoOLNxuZJvi9pbbjrk89w/ZdzjoXUuzJ/uoJwwhRbPQFyrRDRSLFvzNHmoynZeWq5Izm0iV5Mknn9xsy9lnW7CzAM+4OS4KmBywNClOqlg1KU5L0AzodjlPTJ38nWt769KrTlNJet3UtYw43mfTnCrktbXVy6WNTjvG7Ua2Kc1+x2pIL7gfcP+Qge033nhjs80Jo62Ue3ztVQkyX3RUousYPMh7g781O5wsw4M+5/7jIFmg7KKoTHQ845YZJZjENW9KK/5IkwashVM9ziQW0eWm8+orkTPDmzbMW16zZ1pSoOe7yW+teS3ytmxT3N64HaYQHYP7h+w77LSiraIh+6hmv7OCzL2L/vaBIZLhyhJdX8HfvC3tFJoUx3Y5a7WBjRs3Ntsc/H3SSSdNnPeoRz1KvYYHbDe55JJLmm3OaCEX4+SOrMXEyUUu+bdm25ASXdsUXl7HktzUXl0u02PlqvSmChvDChj3JB2Xv7V4O2vVe82WJ9sUtzduh6yGTAmT4f4h+w6vqcfZXVilKfso919e8mrPPfdstmU71pyA5hFkXomuQoWWtstS32jqD+4okhyZKA4++OBmm4O/WRVTAhdffHGzzcutsIea9DzjDsp15s5uBX97spwAeqyXd225FImuS3LTrpeizsqNrdKyqViqS48nMTDZDjyZVYDJ9sbtkNtnbjyo7Du81t3111/fbHNMneyj3H85sJy3rZXMc1XoueiD6EIIBwF4M4DNAB4LYA8Ah8UYr+vifitHdG0bS8qsRyM9K/ibt5kQ5X1Y588z0SOOOKLZZkkvBdIJgG0lnMrJWhVBIyorObAnDs5LVF5VUEqWk76Irg9Y78azWjmgfytLEvdMZGR/4fbG7ZDbp2y7Bx10ENpA9h3uV9zfmPSk5Mn9V+vj8tl4nPCOOZ6JkIU5t9cjAfwKgK8D+CqA53R5s5Ujuq6QG/zNqksuI20bnMLr+OOPb7af9KQnpVR7KniGDEyu8cUGebZNyMGP682zd009CegkaGXlaKuu9HpQ5gaC94UUZwPN9pYKj/OVVF1yO9BsdNYCr9wOuX3KttuW6CS4X3EYAhOq9LrUUp95g8y9iwZ3gR7DC74SY3wkAIQQXo1KdP0jN/jbs2ac/K2tv8YkAUwGt7JbdG6H1mbI8pi2ppc1Y/eqITXVY4rXpFf9U1Ki6xKegGLrPC88geVWkDm3fW/aMK2tSFU/9yVuh962y33HC+5X3N/4WhxrB0yqLrU+LscCfjYmPc1eB3QXZN4H0cUYp7sBd4RKdC1ghQpotgXN4UT+5jI8CMjOydnZS0pxvAK0TOfFQbTaCgNSOtOkOCudV25S5tyYOM/+RUOuE4I1YUvx/tOuLb+1FkOqSXeA3se4fcq2y+36BS94wewHMMD9jaVISXQseXI9ub/LsYAlPE2b0WWQOaM6owwUKUmYLaLTOqR0Q9bWX+NGL4mOZ5W5btXsLs0zYY4dAiZVrp6FOeXvFMcSr9ckw0NupSW1ebiCazFxEik2HGutu2nnyGtr3zBFopNtSnPV5/Yp2y63a27vHI7jBfc3TboDJp1mtPXsrLFAG0vkO/R4BqdI/JXoVhDaDNWKidMynstZHDdubsScnUEGfz/xiU9stnNncWzPYPuDnKFyZ/V4UwK+FF4yZ6InyFs+s+e83JlvCpmVDi9gWPXJDQz33MeKAdOcUaysQNw+LImOf3N5bp+y7XK75vZ++umnoy34HXI/5BAEYNJ+yMsBadIdMBmG4EkhBui21gXQRuwbQvga/d4SY9wyt9qgEt1MaOTmDf7W1BjyGtzZOVflox/96Iky7AWWAjaI82yXZ6FMzsDkIMWEbM2+264TB/i8JrtcBDVlmZ0ukTL79gaGt7mHPM9yitAGXEui420rCw7/1iQg2Xa5XXN7537AC6p6wf1Q9lHuvyxhWjY6bZywgsz5d0k1ZgGJ7uYY4+bci5TEyhJdbgova+VvTYqT6goelDiFFwd/b9482V44FicFPKvlGCFrTS7uOJoUZ3mRaaRnDX5eia6tinIRyCw3vk27loSVzWSMlMwqVjYVLzyLuso2pUl73F5l2+V2ze2d+8Gzn/3sVnUHJvuh7KO8kjk7w7AtUY4FPE7wtbmPWZmEvCvQz5L8alLngaCtR6V35W/uYNxomfSkuzQ34kMOOaTZfuxjH9tsy06UAnaF5nyBnGmC7Rdy5qiFCmgOJ4BPXWnZHLwB37nklkJofSVy9sBqzx67jXw3nmwqXmLj+1i5HTWPZSubinfdO27X3N65H3BmlRTvZdlHWV3Ka+1xSjMZkqBNjpnsrZXMU2zSNTPKisFKacTb3pW/tcBQOUBw8tdNmzY125xvT8tO0QbXXHNNs82kx4OAlpsS0FVLlv1A85TU1JPWsRSvydx8lAtg53AhZSCzJEpNckvJ/el1jdecVmSb8rQ9y67H7Z37AfePFKKTfZT7L/drTqVnhRd4g8w9K5kvsjNKCOGX1zafsPb/50MINwG4Kcb45ZL3qkSHnT+sJ4WXNSPTpDg5I+Pgb14zLleKk4tH8uyVlzrhjA5abkpAl9w0hxNAt8FYa3K1dSyRSFnqpCtC69IZJbcOuR6Y3jKWLU+S2BjWAsKa5KblzQT03JncD7h/yAToBxxwwPQHMMD9l8MQWLqT60zyM2hjiXclc2/c6ALgk+L3H639/zKAU0reaGWJzmuj8678zTp3brTcsKR9jTsRuyuXXEoH0NMVafW0ZtJa50qxt5VeScDTiUt09EV2Rml7Xa/q07LReaRqS2uieWpK1SUf89iAAZ0cuR9w/5B9J4XouP9yv+ZrsTcmMEnIXE/Lmc2zkrmEZ5LTl0QXY+yNdVeW6BiW67MmxUn3YLbRcaNj6YglOAA47rjjmu3HP/7xbas9Ac6mfumll04cY9WMtpAk19MKFfCu/O1ZtDNl8ckSq31rWLDZrgveOntXKNfKWCpnTdpLseVxm5BtSlvJXMsTC+jB6NwPuH/IvsP2O3YY84L7Na91J1cy17RAmu0f0IPMtUnmtN/TUG10A0Ju8LfsUFoiZpbi5OrF7JacMnNksKFdzhbZNuGR4qR3V4pjiZbRIUWtkrtkjoVlJLcUpHh6egPOPSpO61trq87LfqkFmXuz7WjSHfcP2Xe4X6UQHfdr7u9yLGDvUE3rIsecLoLMq9flQDD+iJqnFzDZIViK03TnwORskTsbZ02Qwd+Pe9zjWtVdgr24NDscoEtxPAhYoQLa0jpaqiLAl+WkhEqyL3XlkFDagcWj4rTIUbu/bFPc3jwpxADdfsfb3D9k3+F+xWE/e++999T6W+D+ziEIwKSEx2OOlt8TmOynWhiCVOWm2LGHgEp0sIlO05fLDsUdlNV7PHPj9eMA7LSacVvwbJMN3TxDBSZnfh4pzlpVQEvU6w3k9sbEaZi3k8nQ4ZH8rNgshjf2TpMWZZvS2h63T9l2tUFf09TIvsP9ivtbiqmB+7scC3icYGcya21KzS/ACjK3EqSPUSW6AWAa0VkNiHXkPNOShmHuRNxoeRbIi6MCaYMxz+rYnsBGdJnvj5+PBwhNivPGxFlE51FdWkjJ9LDIHpR9oeQgleK04q2LR3UpoZGbteYjt2vPquay73C/4v7G/dqbxIGfWY4FfB8mOssZhccjHqeslcy1IHNGJbolR4yx6RSalxOgG4BlSAGDPa1YF89rxrHzSSouueSSZpsztbNtwcpswiTGg4BFdJotziI6TyLmlODvvjKWLCu68qRLcVphWA4sWvuQbUpL5MDtU7ZdTTujqQRl3+F+xf2NEzw//elPn1p/C3Is4HyZLEWyvY5NFYDuHKeZGoDpE1DLI3YoWCmiA3Z0MGsWqK0QzOoO2QmZ6HglYpkHry3kLI6DTnnmxw1dqiu0mXBKsmW+ljf4mzHvJXOGQGYp6NKV3Ou0wvDY8qw2pQWWy7brae98LRnSwP2K+xv3w5NOOmmijCQXD3ic4PGD1aXS69LjKCfHNm2tO0YluiVHjLFpHNwArOBvVh1ww+Bs48Ckzp3XjON0XilgYzgwmV6IZ5tcZznAcOPWDNjWyt8eic6b5cSrkswlpFUltLZIcUzxXi+X9GSb0tSaWt5MQM9mpGUckRId9yvub9wPZR998pOfPLWeFnic4DAEjvHjRNSAnkeX6yxDhabFwQ6R2CRWjujG0k6K2y53PEl07EZ86KGHNttaBggLfE+eOQKTS4CwodqSNj2u2N514uZBWl5UciuLlJCE3PtY+7XJk3fdOy3xgbYqAjDZr7i/cT+UfZSX8PGm8ON68vjB4wqrNAE9dtcbBjV+BzJl2BCJb+WIbvyhuTFIt12eHbEakGdHMvibpbgTTjghq55s9OaM68DkDE+mERpDqk60bOje7BKeUAEJT67JZcpSsurIjcOzoCWZ9q6SwOdZWX3YXsf9wFL1MZlwf+N+KPvoYx7zmGY7JZ0fjx8chsD5OWV9WCulSXfA9P5fbXQDQ4yxaezebAoMJgy5qjCrLlNSeHHj0uxwwKT6gklYs8MBeuiA14NSS8rstadUG9uw4A0vSL3eGN4MLNw+JTl6whCsNfB4bOD+xv1Q9lHuv094whOabW/b5fGDxxU55rAqlYnOWs1h2lp3legGhu3btzezHS1sAJhUA/AMiI3EMvlrrhR32WWXNdvs3cUzR2BSL88NkjurdHf22OKsZMueJXNKO5ZUQlse5IYXpNjytPvIczTVJfcDy4yh2fK5H8o+qnlnypACD3hckcHsnE2FJTcmMzm2TQtDkJODSnRLDlZdWuoK7mxMElbwt5xttQXr3zlLgjRA82xNywvoDZpNyUGZgkpaFRZybYHWigme5NHeZAlaHJ7so9x/uV+nEB2PK1aQOZOeNbZNI/UhEpvEShHdgw8+2MxoNEMuMNnY2RjMQaIcH5cKnvmxnl9brBHQM7Bodjh5XlvSA9I8KGtqrorcVGMWNFueRXRtpTv5W0sNKPso91/u10cccUSznRJTK8ccTkbNzjFaCjFgukTHKtnqjFIIIYSDAZwD4DQAAcDnALwhxni9WXDn67wFwPsBXBBjfKqnzPbt25tGIL2rGFrwNzucsGeUF/Kel19+ebPNagnOziAbqhYcqwV/A+0zm6Qsn1NVkhVtkJJqTIOlcdA8MjVPZNl3tJAEK78m91/u19zfWaUp66BBjjk8HrFdkHN38jYwXa1ZVZeFEULYE8AXANwH4EwAEcB7AHwxhHBCjPEuqzxd53AAbwNw46xzGay65I8rDdAbN25sttkuJ1UHbSHdg9mYfNNNNzXb7DUloa3J5Q341iQ3b3hAJaqKRUDKxEpr+ykB59xHpUaIj3G/5v4uxwJp8/eAxyMep3j8kp7Z0xaSrs4o5fEaAIcDOCrGeDUAhBAuB/AdAK8F8GHndf4YwF8BOAotnmH79u1TJTnpJXnQQQc12zxrkqsPeMAzP57RAboUx+oSGYfjkeKs1b49i6B6bXJViqsogZScmp5E0hIee53sO9yvPNIdMNl/PdIdMLlAqzf2lscjzpWppRADgFtuuaXZHj+DliFlSOib6M4AcOGY5AAgxrg1hHABgBfCQXQhhF8D8HgALwPwd21uzplRmEBk8DfPjpj0UsAeWXKtK57tse5csysAPilOlvGqKMew7G2V3Cq6RG4iaQueIHNLG+KR7oBJEuR+rUl3wOQ4wbY8L3ic4vFLBrNPSzJRJbryOBbAeVP2XwHgJbMKhxA2YmTfe1OM8ZacwZTJTaokeVVhlui84IbCxmi5BhXH33Dn4I4nk9R6pDgrY7mmrrTUmKvuWLJMzzakQcobr2d9H27X7HTB+/m61qrmHukO0LOUcH+XYwGPEyzdedsej1Ms3VlB5tJbdIwhtaEx+ia6fQDcOmX/LQA2Ttkv8XsAvg3gL7w3DCGcBeAsYDQ7GzdwJjoZGsCzI+lu7AHP1nhbLgGirYbAxCRVKVo2E+6gVniAFeTdFstEABqG8AwMz/Ms60BWMgxBi72z0udpKcRkH9UyK3F/l2OBNmYccsgh0x5lJ3DdePySYxtLjuPYO/lel7V9WFia8IIQwtMAvALA42OLLxFj3AJgCwDstddecTwrY/GewwaANFscg/XvvPwGuwADkx2CO5hmhwP0taasXJVtvSYXIW9lSSxjnbtE6UTO80BKwLlW3loPT1Ndcj+UEp2WK5f7uxwLeJzg8cNLdAwevzgEAZiU8MbSnZzwLksbaINWRBdC2BUj+9gmAHsAuBnAt2KM1zkvcSumS26apMf4KIA/BfC9EMJ4Hfv1AHZZ+31PjPE+tTRGZDKON+NgS2mH23vvvdEWHCTKjYn18lKC49meNkOUs0XubJoU581sMmRUcktDX4mc5w3vGolaUgbNXid/M+lZGUt4nODxg8eVTZs2Ta2zBI9fcmybFmQupdghYibRhRB2AfBLAF4N4BkAdsUo/m2MGEL4PoC/BnAuO5pMwRUY2ekkjgFw5YyqHL3295tTjt0K4H8F8PvWBTZs2NBIcizF5UpwwGTwN8/OuKHKxq2pKLWldOR53lyVjKFJcYtct2VHl2vYlYRFzm3bh+w7ntg72Uc1cmPpTo4FPE7w+MHjipfoGHJs4/XtxjZD6YCzaN+3BEyiCyH8MkZB2QcD+DRGsWvfAHATgHswksQOA/AkjMjwd0IIfwHgbTHGH0+55PkAPhRCODzGeO3aPQ4F8BQAb5lR12dO2ff7AHYB8HoAFsECGDXUcdAlO5ykpO+Seed4fSr2dOKsCbIBcWfhzCbWat8ecpOd25OUmbFo5LFo9Vl1LLLq03Jg0eqtOazIYxrpWQ5jWmYVqe7kcYLHDx5XDjvssIkyvEqCBjm28bg3ttdJB5x5f8MuMEui++8A/i8AfxFjvE055yIAn8CI5J4E4M0YOX+8e8q55wJ4HYDzQghvwyhg/N0AbsBINQkACCE8GsA1AM6OMZ4NADHGL8mLhRBuA7B+2rFp2LBhQ5PSSy6z0xbSPZh17txo2TtLdjRPvr2UUIEU9eSikcmi1afCh0VTfbatj2Wv8oYkePqylTyaxw8eV+SY4yE6CR73xmPhykt0AA6PMeq5sgRijP8O4EUhhKn5bGKMd4UQTsUoROBjGKlAP49RCjBeOClgJKkVNSjtvvvuzYyGU3t5wTOtK6+c1LRu3bq12eYgTWv1Y48UlxIqUCIOrg8sUl0qymOZJD/PeR7pDtCdyTTpTh7j8YPHFTnmcBiCNyUhj3vjsZA1SyvpddmG5Lzl1nJavnhG+eswaQfUzjulTb02bNiQpOceg2dUrFMHJmdhcrbG92d4Zn7Wat+eZMvTfs/a3yUquVUA85H8cpcG8kh3QJqmRlsqiMcVOebweJSSe3c8FnozsSwz3F6XIYSfAbB3jPGitd97AHgHgOMAfDrG+IfdVLEcdt99951CCWaBPaB4RiUzDnBqHTY6W+vEeaQ4L9EtcsaSSm4VFhaJ9KzzPNIdoNvvNOkO0BdL5XFFjjk8HrH9zpvNaTwWSq/RlZPoBP4QwKUY2eQA4L0Y2dv+A8A5IYQYY/xI4frNHUx0rC/nBghMNk6eBWqzO/lbk+Ks4G/vkjnzwCLUoWL5MG8bn1e6Y1iemt517/g8D+kBk+MRj1O5aQtXnegeC+AjABBCWIdR8PabY4znhBDeiZEDyiCI7sc/3uEw+s1vfrPZZtfcn/zkJxNluHHyjE6zwwE+KS4lVMA6rytUYqsoDW8KsJL3scITPF6bgM87U44FTGisEWInFTnm8HjE4xRLdyke5atOdA8HMH7Tj8Mo8PtTa7+/BOCN5ao1X/BqvbzNRmLpHsydQEsbZM3iNInOuzacVpcuUcmtok/0Ie15wxMsz2ZNovNqd3j8sEISeDzSxqwUohsi2hDdjwEcCeBfATwHwDUxxrE1dC8A27SCiw6pEmDdN8+aeBFDuQYVN2IOIPXGxHlDBTxE1yUquVUsAuZt17OITsudmRJ7xxKdHHN4POJxiscv6aSyzz77qPUeY9UluvMBvD+EcByAV4Li3gAcD+DaaYWWATwDAiZ135YUx/BIcdYSIJoUtwhOJpXcKhYZXZKe59qyf2i5M62ltLQxg8cVSXQ8HvE4xeOXHNtmEd1KhhcIvAXA7gCeixHpvZeOnQHgMwXr1TnuvPPOZvuqq66aOKZJcTy7kp5WHilOxttoKx6nhAqURCW2imXFPOx6EppEp0l3gM87k8cf+VuT7uTYxhKeXIdzjJUmuhjjXRitED7t2M8Vq1FP4HxyvA1MxquMl7IAJhu3zG+n5afUltUBJmd1885BWcmtYogoKe154/C0/sv9XdaFU4/x+GERHS/qyuOUljcTmHRU2bx5M6ZhpYluCNi+fXuzVAaL9Jw5HJiU9lhdYGVD8KwNlxIqIFHJraIiDX2QnjzmCTiXvzUziBxzNE9NHr/k2Mbj3rHHjvLrc/amoWJWUufzAbwzxvgNz8XWUn/9FoC7Y4x/UqB+RXHfffc1K/vyCr9Sj80NhaGtMAD4pDjZuFOkuFxUcquo6M+u5wk4BybHCY90B0x6ZLJ0x+OXHNt43BurMeV1V1Giuw7AhSGESwH8FUYel5fHGJvpQwhhE4CTALwAwIsA/ADAr3dS20zcf//9zYfnFX55eXlAl+JY9WCtE8fnedeJ6zJUoJJbRYWOXNJLCUmQ9+FxQlvsVY45mjMbj19ybONxbzwWSpXoyhFdjPG/hhD+G4A3AHgXRrF0MYRwB4D7AOyNHevTXbR23sdjjA9Ov+J8ce+99zYzGs4TJxsDf2g2EnPwt7TR8XlaA7S8s0pKdJXYKirSUMKZRet/3N+lulCbUPO4YiWC1lYyl2Mbj3vjsZC9N1fW6zLGeA2A14cQ/jcAT8Zo7blNGHlg/gTAVQC+EmP8bpcVLYFt27Y1WU+4AUi3XZ5dsUpBW/QUmGyoWqjAKqzkW1FRMRvWWKCNJXLM0UwkVuwdj3vjsVCes5JEN0aM8X4AX177W0rcf//9zYzm9ttvb/bLxRa11YN5dpUS/N3l8jlViquoKI/Sak0NKUHmTGja6gcy9pfHvfFYKFWXQ8RKeV0++OCDzYfmjytnV0x02qzJWhDVq5Ks5FZRsTzokvQ0W553gVdtzJLqTh73xmOhnOivtEQ3BGzbtq3JIMA6cmnk5ZmTJtF5F0QtnbKrkltFxfxRmvSslGJjWEHmWk5MKa1Ny6ZSVZcDQ4yx+dDcsKy8c3yMZ1DWOnHziImrqKiYD1L6sTf2jiHHHB6PtMwqVjaV8Vgo61KJbskRY2zEdMuxxLNOnGyM84iJq6ioWE6k5LCVY45n3TtL86QR3RCxUkQXQmgkL009KY9pUpycXc17VYGKiophwGOvAyYJSpPu5NjGqsuxulOqYYdIfCtFdMAOFSPPdOSsx7Pat1eiszDEBlVRUTEbKZNhOebweKRJd3Js07zDGX2MSyGEgwGcA+A0jOKwPwfgDTHG67u4XyuiCyE8DsDbATwdo2Dxk2KMl4QQ3odRLN2/dFDHYli3bl2jsuRZj5XlRCO6FGOypZevpDdsaNkyrOTAFcNCir2e98sgc43orGwqPO6NA8vl2NX1WBRC2BPAFzBKOnImgAjgPQC+GEI4YW0BgaJwE10I4akYse61AP5fAK+jw9sB/CaAhSa6EEIz27EkOg+5lR6UKuktP0qTViXB5UeXSdi13JlWkPm0VIV9LW1EeA2AwwEcFWO8eq0OlwP4DoDXAvhw6Ru2keg+AODTAH4RwC6YJLpLALyiYL06wbp16xqdtTdUwLvCgNagrcGqEtrywyOpWWWs/VXyGy5KeGNrY5NFdNPsdx5tVGGcAeDCMckBQIxxawjhAgAvxJyJ7vEAXhRjjCEE2VNvBrBfuWp1gxBC0wg0qQ0om2zZu5xHyoBZ0Q+s7zZvLHLdVhUpY4bnu6Ukj5Zj2zSHujlMwI8FcN6U/VcAeEkXN2xDdPcC2FM59igAtyvHFgYs0Wl2uPF5Y3SZpquS2HLCK5Ety30q+kfp5BFeT00e96ZJdD15Xe4D4NYp+28BsLGLG7Yhun8F8IYQAjPx+I28CiPj4kIjhNB8aPZMKuFBWaJuY1R15/yxrO+5qjj7xyIkhfCQHjDdI7ODMWbfEMLX6PeWGOOW3IvmoA3RvR3ABQAuA/ApjEjuzBDChwE8AcATy1evLFh1qem3x+f1VZ8xlnVgXXYM+b1rz1YJcD6Yx7hirYHZoery5hjjZuP4rZguuWmSXjbcVsgY42UYhRX8GMBbMYp9GDukPCPG+K3y1SuLMdGtX78eu+yyS/MXQpj4mzesuixSPZcRY9XMUANjPVj15y+BZemjcmzjcW88Fs6hnldgZKeTOAbAlV3csFUcXYzxEgDPCiHsjhH73hZjvLuLinUBluhSgrqrWmg5UQd0HdWZZXmhjU0W+PvO0RnlfAAfCiEcHmO8dq0OhwJ4CoC3dHHDpMwoMcZ7AfygcF16wdgLyerQng9deoBIsdFV1WdFRX/oypvSC28ft87TYu9S7pOBczHSBp4XQngbRmawdwO4AcBHu7hh28woRwP4ZQAHY7TCOCPGGBXvQ2IAACAASURBVM8sVbGuMP7QVaIbNirxp6G28eVBrkQ37fv2odKOMd4VQjgVoxRgH8PIDPZ5jFKA/bSLe7bJjPIKAH+GEfveCEAuS7vwI0sIoXWqLs/2tPvkoEpqaajvqiwq6aWhKynOWk4nhfTGY+E8vu1aTssX93W/tl6X5wF4VYzxto7q0zmWvcPWIPOKiv6QmzBikeHJ5jQUtCG6AwD85jKTHDBddSk/LCdP1c5LURWkoMbR2ajvox9U6U5H6ffhldS0Yzx+Wb4Eleim4wIAR2OkS11atG2U81BderGKQeZDepZlxZA9NRch+JuRQnReVKKbjtcB+LsQwk8AfAZTAvtijNt3KjUgWA2rJuCtqKgoAW/qt64IadWJ7nsAvgHg48rx2PJ6vcMbxKmpAWROOK1Ml6SXYqNbRvvdstSzYvkzsKRIcV2qK7X91phjqSs1tPVAX2a0IaZzAbwUwN8DuAo7e10uLUqoYjxqhFVoUKWwjORcUdt4KnI9KD3X9Z4/xP7WhuheCOB/jzH+t64q0we02BEPNCcV63peSSsFlQwqKvpDX8HfXtKTK4570FajNRS0Ibq70FEesj4x/tBelWIuac3DXjeEbCqLXLcKHctin160sIGUbEyeYylq2SH2vTZE9+cAfg3AZzuqy1JBzqY8BFKDzG0sa70rpmNZSM/CIgV/p0hwFSO0IbrvAnhZCOGzAP4F070u/6xUxbpGaWLwpAqbl1v2opLgItWlolssckjCvMMGrGOl+0hVXc7GH6/9fzSAZ005HjFKEbbQGHtOWvY2j0Qmy3iCzK3rMYZMgEPsRBXLgXkTWm7wt3VtDdYza+kQh9hH2xDdYZ3Voif0tUaUR7qTxzSk1HfIAeMVw8CiqjVL1CXFg7JLKU6DliVqiOOFm+hijN/tsiJ9g2czJextHsPuIqhvaq7MilXCojmdjJES/N02Pm4a2ia1HwoWOsC7C/TRwFOCzL3IlfCG2IgrKnKQOyakOJZ4g79Lw5PrcogwiS6EcC2AX4oxXhZC2AqYS/HEGOMRRWvXAaaFF8hZToq9zQNvNpW+sIq5MiuGjUXLVcmYh5OJJcHV8IId+DKAO2h7MG+gyxQ+fG0mTbmib0o2lXmTY0VFRZmAb4YmxeWSjhwjqtflFMQYf522X9l5bXqAJzOKZr/Lle4sG13NplJR0R/mkeXEW8aLXCmuSnRrYNVlT/XpHJ7MKCVVlJp0N+2+nvt3lTB6aEmhK1YHfakrvaSVG/xdso+1fTer6nV5KIDdeqhH7/AO7B7pbto1PPBIcUNTXVbSrACWs+0y5iHFeb0pF9lOOS+slNclx9F5CSPFpbcr0vPe09uYc8m1ElXFvJASNpAyyHtIK4X0vMj1sva8j1VwPpsdVFHYASWEcHAI4VMhhNtDCHeEEP4uhHBIi/JHhxA+GUK4OYRwTwjhWyGE306oR+u/devWNX9ejFUB0xrP9u3bmz8+z/rzXruioqIsPP3Q+uP+7r22BR6PUsYzz3Om/C0iPBLd74YQbnacF2OMZ1onhBD2BPAFAPcBOBMjEn0PgC+GEE6IMd41o/zmtfJfAvBqALcDeAyAvRz1S0KKBNOVdDfrmHZPz6wwxUaX+5yrMJOsGKGEyqwPKc7bBhdZisvFEPuhh+hOxIiYZsHzdl4D4HAAR8UYrwaAEMLlAL4D4LUAPqwVDCGsA/D/APh8jPGX6NAXHffl67Q5XR3Yrdi7lPt5g8y1uqXcs6KiwobHscRyRvEGf3v6rBxzPMRvhRes0jjhIbpfjDFeVOh+ZwC4cExyABBj3BpCuACjhV1VogNwCoCjMSLE3jBvF9wU6cq6xio17ooKD3KluHlJQF2R1qpKdCVxLIDzpuy/AsBLZpR96tr/3UMIFwJ4AkZLBf0NgDfHGO9JrZS3kViEYeXObAtvkHmK04oHKc4oJdSQ1dFlWCgZ8uI9lntPSzrz7AfKpvBK8abMIcBFtrPloG+i2wdT1rEDcAuAjTPKblr7/wkAfwjgLQA2AzgbwMEAfmlaoRDCWQDOAoCHP/zhvL/Z7sv2lgKvRKedY12vSncVq4oUKW6RJbqSZSrRzRfjqc3HY4zvWNv+UghhFwAfCCEcHWP8piwUY9wCYAsAHHjgga4v2NZ5Y6eKdiTdWfftSrqzrp3iwJJ7z4rFxrJLcV6beIodzgtNivPa20pLtUOA6ScfY1xX0D4HjKS5aZKbJukxfrL2/7Ni/2fW/j8utVJet9vcMiVQMtRg0V2CKypKomQfmUffWaZxatHQt0R3BUZ2OoljAFzpKGuhk7Utcl34S0p3s+owa79EyYafYterqAC6k9QspHhQdtl2vVIcozqj+OGPfC6D8wGcHEI4fLwjhHAogKesHbPwzxiFOTxX7D997f/XylTRh5RAzBLQgswZKQGc3vPnMTusM9LFxiK3iZx+YPUrK/i7JOYxzsh30PZvEdG3RHcugNcBOC+E8DaMYu/eDeAGAB8dnxRCeDSAawCcHWM8GwBijD8JIbwfwNtDCHdgFDi+GcA7APwlhyzkoqR9ieGNvUtBrgdkX4NUle4qgPk4QnmlOK1MSVgxcV3aOWdhkckqB70SXYzxrhDCqQDOAfAxAAHA5wG8Icb4Uzo1ANgFO0ucZwO4E8BvAXgjgB8C+D2MyLJzpDSgLhtNSpB5itdVigNMJbSKFKQ4ozBS2ppXddm19DaG18mkq8nCEPtr716XMcbrAbx4xjnXYUR2cn/EKKjcCiwviq6kO6A7+10u6SyyirBEvF5FHha5fUi0leLmYYeb9rstlumbzAPLFF6wUFhk6c4KMmd4nyE39s4TniCPVQwLuZKahdJSHGORpLi+yGyI/bASXY/oS7rzqi5LemdW0qoojRKTybZSXOl2m+JNOW8Mse9WomsBr03Ki3k0qHlLd7kYYidcNpRo+6Xr0LbMvNtRieDvaqPzY+WIbvwRF2FG1VUdpEToyZfnVSmWtCUMwYFlHvVchLbrQV+DdK7XZJcOJ4ssxS1LHyuBlSO6UvCq6qzGrZWZR5B5irS6jB1lGessUfIZFm3wZeRKbdaxvpxONKQ4o/TxrWp4wcDQpQrOK5n0RSBaGEJKPeetuvRikdTCJTAPNdUyfl/LRqft79LhJEWi6ysjTM45y4aVJTpGXzaHFCmwryBz7f7yvEWzx7TtlPPqxLlhHV3VO+Wey9o+5hH8rWGRPSgr0VWo8Eg9JQg1V62ZK91pKNFxc2eb85itlrxeSS/Y0shVbZduH7lZTnInjN6YuFzHkkWbOCwrKtFNwbxnqPNA6WwqWnlvJ8o9r/R9NPQVZ8Xw2IAsdKmyzj0v93t4VZdDxio+8yxUopuBFNLry6bVlXQnkSvhlSSjFBsMo0ti6stG19UK1iXgtTvntg+vRNeHFJci0ZX2SJ2HZmGZUImuYiZS7Esl45xSiC5lUOtLCkxBbvyjdp71nkqSYF/toyIP1euyorh0No/URxq80p23LrnqTu+gpg3UKXYbb93aXqsEclOvea/lkRyH0D5ykSvRlUBX7a0SXUVrdBkErXln5nZuK+C8JFIGMuvZSjoreOupocQA612RgtHWKSpFIlzW9pECT7KFElgkX4BKdEsOFstLS1MlG2pfbuZedVjKzD53xq7dU+5vS27LpNLkunYVg+VdFy1FMplH+/Beo8v+uiypucbXWxZiCyH8DoBnYrQO6QEAfjfG+C5P2ZUiui6Rq9bsK8g81wW/K6cIqw5e1ZSH0LqU6BZBddlWXem10XljO/tqH4xcNXPKu+0r+HuR7MELgNcAuAPA3wP4zTYFV5bohhZCkOuplaIaSzkv1+7iJbpcZxbv+1jk8AIP6VnSiDcEoCsvw9ITjEXLUjIP5E5054xjY4zbQwjrUYmuPUqrIRe4oWTbsbpEikTWluhyVV6p55VEyUlJiurS21/6sm9ZWKQsJRYWxbFkkb0uY4zJs8pKdANBSUmpL881CY905bXReYmypANKX8glOq960Zs5RzvvwQcfnFmX0sj1CF209GYVZVCJbgqG1rg9ZKBJRtN+z9rvrYv3vFyvS+v+y0h0XqSoLhnefpC7uGjJ0AlL2uR6ah6tQ+vv8yi/iKhEtyDIJQ0vUXnKeKUm7ZxUeCTHXMm1zfWWHSn2mJSB3vPdSoQgpBC3FnajSaiWNiOFxJeRRAv0iX1DCF+j31tijFv4hBDCswF81nGtL8cYT8mtUCW6GejSPdlDGl7Ssq7Lv1mdpO2XA5fHDtYXcklryMTmhVdV5x2kPX2hrwVNJaHyM+yyyy7NtqZWtYg/13mrNOktil1vCm6OMW6ecc7/BHC041p351YGqESXjNKNLMVL0EtAnpg0bdt7n5T3MY8Zbul7zuMZlnGCUaJMblwfn8ekZ8Urav2tyxCieaIvZ5QY490Arur8RmuoRNcjSqjdNImMOyGfYx3TtiXRWce0ejJSAoxzXdNT7r+MLuelvUNzpeIuvV093p1MYLOu1xZ8H+4T8p4pWKQ2NURUousYJb0hrfJeicyzbRFlSj29M3G+jzZ4dJlXULMjpRBtX6pt77HcjDCl71myHXmfLTfGzxtu0bYu8hrzJr1FlTZDCJsBHApg3FGPCSH88tr2P61JiVNRiS4Rud6D1jHLscRDTpKoPFLctm3bXPdMUVd6CcSTiUNeyyMFegOkPRKDxKIRXdsk1942aUlnWpu08q/mSn5e0mk7SfNKZ9Y71Nqutx160RUhLirRAXgdgDPp90vW/gDgMADXaQUr0c1ACULT9ktCGsMrnaWoHj3kJuuVa4TX9ksC4UFGU0fJgUgbSLRrlSC6rlzoS7S1XKLT2pdFRlr78oYu5EquFtFxO+D27oWHEOU9PR6mFqFqz2ZJgYyhJryIMb4SwCtTylaim4IUO0XKTNhznuycGiFZqkftPK8U6XkfKSpFi+i0bVlm/fr1U495tq36lLQRlkaujcwrnWkOG7JNau9KI0p5vZS4Ps9+eZ+SK3xo9wAm2yRDezeybrmTp1w16KISXQ5WluhyjfMpasgU25nXscRLdF5yY6TEL3lISw4I/FvblkS1YcOGqdf2El1b1eesYxr6kujaTri8bZLb0AMPPKCWYRLkbeu9e1Tr1vNY8KhFvZM8LcjckuC87VArkwKv/XDetsA+sXJEl+NV5vWGZKSoIb1E57XRtR0gUozzlnTGRMX7maTkebzN50ly5Ptq9ylNdFp5CyWJLtfJI6VNMmlJtRsfy3X4sFAynlMro/XjlGvNOtYWlrozJV5vWt1iXNxclzlYOaKbhtJqyFzpzBu8nZLCS2vEubNS2Qk90plFdHzMIjqN3PoiupJqJi9SVJe5RKeRnvzN0h5vyzL83TQpUJbR+oX1PIwUctS0IVab0tS/lhToOc+r7sxtr5XoBoRc1UcJb8hcxxLtWhZSbGceopOkpUluXtLaddddW5dJITrruT3oanVtCyn2pRQbndYm5aTG4/jjbVNWGSbOkskOGF77tBUKk6M1smARqtfG55H2KtENAOOP6LVzeDuUx4NRzlA9g0qKdOa1KaU4fGgqSYuANKKS5Og5z0t0mrTZZRzeosEj3VkqeI8aU/5mMuLJirTradKeJQVq0l7JPmb1t5S0YZ7QC6sOfC1Lba+hRBjDEFCJDrZ05lX5eMjN65btMaBLeJ0nPKTlVUNaBMTX4AEvRXXprZtHiivhWLKM8BKd5mnJ7dPrLcukZUmBmtOKbFMeQpR108iJt71hB953aKkbNWh10L6HhEauucsWDQWV6JCmvskNyrbq4G1oufYyjUzkAOMhKq+klVLGIroUT8sKHR4NhvxuWhvnb+2VAnfbbbfWZXj//fffr5bRyluxdh67oIRH8pPjB79T7+Ras+tZTiuevlCJbskRY2wamEV0KaSVkkNSIzdLyvDYyCyVIG8zgWk2Mau814Myl7QstarHvlM6gLZkDFYuLJtj7vW09im/m0aC3pAXrxqSyUkLd7BUpEyCvO0tL4+NkeKYZqkuveYSj4Rp2Q/HbUWWrUQ3IOS6WKdIdF5DN8MiOg+Byd9ttwHdScRLWl5boEcis1SPXZGbl9hyXd4lPGpVWbfcd6C9T2uQ1uppldHaBPcXKTlqEqIVm9lW4ve+MyY9b7/2em3nwquO1yS/SnRLDpboLDVkitHbGwenwRtU7ZHIWP0jf2vbFtF57GXe1Fy5gdhWx82VtFI88bx2mxR43ltfaaG819KIpUQIj0e7IqUuTYq77777pm5bRKk9m7ynNmZ4x4IUv4AUG6x2zhCxUkQH7GgsKfY2r0TnHXBT3PY1QtO2AWD33XefeZ4mqck6eFJuAd05eaSEhXjP8w4Wi0x0KWU8909Byj1THGUsLUHbkJMSzkqekAavjS+lHeXG1A2R+FaK6GKMzezLCkz1SHFW9hGGFRfkCZBmkpK/PdtAeynOmtVq4QkWvE43JUnHe07uPbUBqzTRMVIG5hSi9Fy3xH1SVIfc/7jtWtoZlui8avt777232fZ6AvMzeAPotX6RYuO3pMBpTi8pJpVlw8oRnUd16SE3q3FondXyhtTIzUt0e+yxh1pGIzqPkwngU0PmEhCQlvXF463qDSXxlllGiY7hJUptvzfo3ivxa/u95Gg5X7R1cCrt3MPIbYcSHlWop31UohsYNIlO6ti9ziQMTdLRHDmASdLRSIu35W+vRKd5VGrk5h38vNKZN/BYm73mrpXnJS1t/9CILlc6s8hAU21bk7yUunkdKfg3t3fu85Yjl8fhy+txbKlYtbi+lOQRXqeXaRJd9bocCMYNJ9fe5u2EVifykJtFdLxt2eg0ydG7ZluKdOaxc1pEpwXaWyrjtqRnPUOup2VfRGfBoxL0Ep11Lc12psWGeZFiS7Tc9nNJvMuQFQ9RpWhNJLqynS86VoroYoyNnl7Lmzft9xiWikNzEtHIDAD23HPPmduyjCa5WYSqzSo11aPVoXIT/Xpto17PtbZEJ+EZIFKkQO/1ch1DvNK395xcovOmiNO+Kbdj67172rSst6duViC3JsVZ4Txeu55n0imD4T35dT0akKq6HBjYRuedvWud3esNmUJ0lkTH1/MmPtY6TortzOvWrTkB5BJdStLeXKLzlulygEgJt2h7LXnMK/VoCZ+9saq5Dj0pzjXeRNIesk/5BiXU4VosnzW2cV2njYXTfg8BK0d04wHUS27ccS31oEZOe+21V7P9kIc8ZKKMh9ysmDhthmh1PI/tTM5qPQl4vRklShOdZpBftM7qqc+iqZK8TlVtpSbrmCbdWcesMm0TF3jXVbQmlppdz5u9KCXBAscCWhLdtGOV6AaIaR/RcvtnqYmlKSYpYJLEeJuJTpbRiE7zjATshj9GikRmSWcaaXmJzrvemHYsN2jWQklJadGQK3lqUov8bhpRpBBdSvvQSE8e02yGKdl6rKQOntCFlJU7vN7QmgYFSMupOwSsHNGNYWVJ58alqSEtotNUklKi89jbrBgdDZbU41EpliA6j42uRBq1lBWhNXidDRaJBEs713hg5br0ekN6wkdKqPdy34H2PLlB5lYb8qpyU2zSlgezp/yyYqWILoTQNFzL7Z+lK42oWFKTvzUpzopvY3LzekBqLvhWMlwtma22X/7u0rEkZQXptp3SGpRSMtpY1y4J7Tnn4R1q5dfUtAeW84XWJrzL9HhVglpguSVp8fvRQics5xzPyiFWPa1EDh5V6j333DNRZtrkVtrtK9EtOUIITYOwso8w0WnkZhGdRyUJ2KqdMVLUkNI7SyM01utb0hmXSQkVSFnNwRsw7hm0Szts5K73lYuS5Oa1z6RIILl187aPlDaVIs2k2Cy9k6K+AtOn3dOaTA8FK0d0Y+KxPBsf+tCHNttMYLxfqiH5t+YZ6V0h2Iob8yw7IomOCU2T3DRjNpAmnXkGIu/yJl16UHpQYhDyXKNE/duSW4ojgjzHE6bilQJTlvaxwgO4vWtr3Wnr4cnraVKghCb5pUhnlrTpSQRhmWXG0l4luoFh3bp1U4mOCUz+9qgk5fU0z0jvGlQpakiNzKxj3jx8Hg/I0tKZF/PulCk2GI0YrAFn3nbBlLpY38YjBXrtbd7cjtr9UyZP3vACzSRhTXpzbcVt28oqLEy8UkS3fv16bNy4EYAuqcljGrlZbv9eg7y2eKRGYPI3J5z1Ep3HxpZiO7NUrIxcaUJiHgTgUUel5JD0DriaNFQCXanQLHgXJ9Vi2lKW3PJO8jyOVPKecmwYw5K0PLY8KdF5Vi+xxqmf/vSnU+sy78ljF+id6EIIBwM4B8BpAAKAzwF4Q4zxekfZQwC8G8AzAewH4AYA/x+A98cY75pVft26dQ2peYnOo5IE9Dg2ryrGS3QauVlE55HicqUzCynu7F5bUcn4NO8sPSUHZdv7p0K7xrzfpwVNWrTal1cV61Ghl1aHewLtrZAmb2JsTzYVTzu2NE1DQa9EF0LYE8AXANwH4EwAEcB7AHwxhHCCRVYhhIdgRIobALwdwPUAngjgdwE8BsBLZ91//fr12HfffQEAD3vYw5r90rFEk9x4RmU1IG22Z0ln7B2l7ZfHtG3L1d+jhkxZIDIFKQOmZR/qqg6WaieF6LxSnAZNugP8uVk9dfOiZCxirhQooZGBN9F4SjyoJ2erlbHEG4uYko1pWlJ4GV9YiS4frwFwOICjYoxXA0AI4XIA3wHwWgAfNso+BSNCe26M8TNr+74YQtgHwBtDCHvGGO+2br5hwwbsv//+APQAb0C3sTFkQ9UaPktgvA1Mkpi2LctokpsVJOrxesy1U1jIHTy9dqwUpMQ8ec7rS+opce226DLGMIXorPtzX5iW/kpup6xN6e1vbb0hATswnQlRIzorpGl8zAqpGAr6JrozAFw4JjkAiDFuDSFcAOCFsIluPH25Q+y/DcA6jNSgJlh1qakkAV1ys2ZkmhqStyVpaSSoqSflb+0+lgdkijdjCkoOsl1KR55ciCnlU87zDn7WeZrU0ofkWwIlpV0L3qDsrrLLpMTeWQsia1KgJ/ShOqOUx7EAzpuy/woAL5lR9nMYSX4fDCH8F4xUlycB+G0Af+Kx0a1fvx777LMPgEkR3lop26vi0NSNd91119RtALj77runltFUkoDPOO5NfKwhxT5locuOVHIw92LeHpBdkbsXi/Y9vdoIT9C9pQr25oZNiSHV4F3TTyM9a2mwsXRXnVHKYx8At07ZfwuAjVbBGOO9IYSnAvhbjIhxjP8B4HWem69bt66xv3EDsLKxa41b2sE0crJUlyn2No3oSnszMlIGxr6yh3TpgTjGvFSFXTnnpKDkWmwSuR6lJaXAlNhOL1KSR3uzqWjXstK1VWeUBUQIYXcAnwCwP4CXY4dE9w4A2wD8F6XcWQDOAoCDDjqoITqrQ2lZRpiopHTGv8duu3K/LOMJD/Cuwp2ihvSqVVIcNnLtVSmdjTt1Ssqs3MG8dNxbrrTmIQ2vo41nv3VeilrWkq5yv49XJam149xV71MmZfKZPUmmLe/O8XYluvK4FdMlN03SY7wKwCkAjowxXrO27yshhNsBbAkh/EmM8TJZKMa4BcAWADjxxBPjtI4tG51m+7JUiinxbZrbvzfjSFfklqKSTHHY8NaT4c3K4R08VwW5NsdcBxTrHO8EwUPcpT09UyZMXAfu19okBNDVkFYcnZYTk+/pDUwfOvomuiswstNJHAPgyhlljwdwK5HcGBet/T8awE5EJzFuuDwjk6TFtjOWzrRtALjzzjunltdsb4DPddm7LA0jNwZMwiPplCa6XHhIr6/7d1kmFyXssfOwWWrSu+W2n4K2Nj5gZy3MtLqkaE3aXE/bP8ujvIYXlMH5AD4UQjg8xngtAIQQDsUodOAtM8r+CMDGEMKR7LUJ4Elr/78/6+YxxoZcNJUk4HP1l2U0V38rWXKKqz8jd/bt9TjMdafv0gPTQ/a54QklHD5yic8bIJ1SN++xNue0gfdbMbTzSqs7U6ARr2Xj1+xqTEZyzNEyrVg2umn1LG3TX0T0TXTnYuQ4cl4I4W0YBYy/G6MMJx8dnxRCeDSAawCcHWM8e233XwD4HQD/FEJ4L0Y2us0YBY9/HcAFs26+ffv2RhLjRsMSGKDb1bwelBrRWd6QjFz1Xq43ZAnprOSAWTKzSokyjC4HhZLhH7kSQ+kybScoqfXxJE73Eqq239tfrPAkHidSVIpe7/Bpy4blLn21DOiV6GKMd4UQTsUoBdjHAAQAn8coBRjrAgOAXTCKjxuXvS6EcDKAd2GUTWVfjAhyC4D3xhhnWne3bduGW28dmQJZUpNEx79528pY4rG3eQ3dli0ixTHEU74v0pq3Z6K3E5eWAj3PnWIrSj1vjGX5bvK8XIcYj+MSkDYZ9aTjkve0pD0NfI2UFILjECtJhpXoCiCOclq+eMY51wE7B4DHGK8E8Cup996+fTvuuGMUb25lH9Hsanye1xuSYc38uHOU9t6z6pB6TpvzGCmqKe/1uoKXtHLJcdZ9U88pgVyVonWeF32RI8NS/WnIdfjySmc8Tnm9O6cltu4qLGeRsDThBSXwwAMP4MYbbwRge1Bq7v0p3pAMy/blVVPNY/DryraxrDPHRSKgRUaX7yDFK7fttUqX9xIdP4PlmKatxmBpq6atbCAlyCG23ZUiugcffLCR6LxJkEsGiVpqSG/H1Y6VliYWFfN4lmWa8fbhMl7CdtYVcusyLy9U7bvxu7YysGjaIWvJrjHRSfPKkMaLMVaK6LZt29ZIdF4Xfq0BpSyZId15PaoYyyOqZL6+3Ma9CJ2jZB1Kk5unbiUIw0pn1RZdqiFTUJLEcsNkcmNIrT7q8dqUx7QJuazLtJyY1UY3MDz44ION16VlU9Pcc7mRyOBNjwej123fIiBPfJh3Ha8UKTLlvC6Rq0bsi+BLvquSttES9se+kOuMkhIm43EssYjO28dSsqloHt2WiWVaNhXv7iIk+QAAHzFJREFUslzLjJUjurHXJTcgSzrTsg/IMlo6HksKLNkhLHLTXKm9TjMpkt8ikGBX8LyPEs4n84hp82ARJDiN9HJDa6x+rZFeiQksw5NIGtBTFfK2JQWO6ynPGWLfXSmi2759e2Oo5cYoPatYWtMaupXx20sgKaolzebnvZYnfmjR4sn6qkOuurKkKlgihdBS2ofXm7EPlLAFekjQmox6yC1FdemdmHo9KLVtK0nF+No1jm5g0IjOWnhQI0Sp19YWaPU2mlyi8qorNaIsTW6L2llKPKdGaF6Vs4YSZNI2Xi83wLtLlA4V8BBVCYlOg7ePamWskCYtjk46o/B5legGihhj8+Gtxqk1biu1DjdC7TzZoFKWsvEsrGlJjh5pc1lJr6SEaiGF6DzSYoqEn0uOKTa6LpFiP/ReT9vvlc68ZRgeApO/vSuZa+kFLYluml1PtttFJLoQws8A+F8APBPA4QDuBHAxgLfHKcn8JVaK6IAdH5cbp+W2q6kOrIaqNVpJjt7wAA0ljePa+bJui4yUenoIKCXEI0UNmjIR8pKBV425LN9aw7z7joR3IqQ5x3nHHC0MwbK/LVPYDIDnYERyfwngEgB7A3gTgAtDCE+NMX7dKrxyRDeGd/DSGo2cXbGKINdobZ2T4jmmHWPi9aYqy3VGKd25uoobS5FQU1RTDPnd+HpayqrS6j0PuvyGuRM+6xi/w1yi84YKeLOcaFKYd21Kq/9qdcs5Zw74GwAfiVS5EMIXAFwH4LcBvMIqvHJEN26gXnWD121X06VrZAL4XJe9WFWJrmTcWAr6ejfzdu9fltl/lxIdw2uP9Y4fGglaXpcpq5+keHovAmKMN0/Zd3sI4dsADpxVfqWILoTQOI14jcneGZm342jQOo5Ud6Zc21O3lAwu3g7R1yDpIb2UunRps8y1SaWU8U4OFum7SXj7W0ocnIYUNaRmY/MuwuyV6FJWkB8fW6aJLSOEsA+A4wD8+axzV4rogOlJWr0N3ZpdcYPiBun16PJ2vJQksxq890wZIDyenl2iZKhAm2Nty+R6QOaqLhdBUktZLiq37Xrh+W6WpJXiWJKSX1eDRfwaloXoAPwBgADg92eduFJEF0JoQglyByttFWGrjHUsxU3div/R0Fa6A3zenSXsevPGstTTi3mrO1OQO+HyJmVImVSkBHJ73f49izV7U3VpdkntvA7axr4hhK/R7y0xxi3i3s8G8FnHtb4cYzxF7gwh/B8Afg3Aq+LkQtxTsXJEN1ZdpqS9sYKttYbvVZHmzjy1a3nPKy3dDY00KvpHiq051z49L8cSTYqzbG8p6krGmATlpLRA3705xrh5xjn/E8DRjmvdLXeEEH4TwPsAvC3G+GeeCq0c0Y0lOiu+zXLpHcNy29U6hzeI2HIB9tjycr07LXVHbuzeItiE5oFlkai6gneSVzqmrS25WWSikZsVq+axvcljmrrS2z+8mV7maaOLMd4N4Kq25UIILwfwRwD+7xjje73lVpboLN231jm8sytPglb5W3MPtspohCiztHiDW7VzvFIpQyM36x2WdCCZN1IGjyGQYYoKvWSWklzHEivNlpaJRBKdtsK3NzWXZhaxzAOeXLvy2DSJbtp9FgUhhF/CyPHkf8QY39im7MoRXVtnDu8gqzUOy5andVDuBCkGeSs9mYf0UmbF3jIpA1FK2MCikeMyklhuuEauCry0gxRDIzfZd7RjXolOIzDLrpdCNB7Sk781oltEhBCeDuCvAVwG4C9CCCfT4ftijN+wyq8c0Wk5KRmeQF1vlgKNwKwyKapL3pa5Oxn8/CmDCsPypvSoLr2qXAtamS49PVPeRwpKxlmm3FNDrg3YOmZNxHLfh9bfLALSJDdNapPX08p7TR9eCVcLhreIblqolbz/AuFUALsBeDyAC8Sx7wI41Cq8UkQH7GgcGoFZx7wDmafRyt9aSIIs4wldsGx0HntZinRmeWqWJIBl8e603oe3zCIhZSLkJbqUTEJeovNMIL1B2Z4QAHlMC/72JlK2nk17b17VpWdV80VBjPFdAN6VWn5lic4KyvZITbKReBxLvPY2q0zbe1qwlh1ieGbf1j1TJDrvO9DQVxyfV5rIlZS6kuJKeAKnqCE9barE+o2a5KapJC23/5KOJVab9rwb+VtLJC/HtlkhSYW8LhcOK0V0IYSpRGep3byzTc0b0Ut0Vp21394BwqPy0dS1beqmHeuSaDyxYqU7rvZ9Lekyhahy7Zwp8JBJit04RaJLsRVLeBIfW4HcHrucNwel1fY9780ifs+YpZ23JKrLLKwU0QE7PqrVgDRpwFJ3apKK13W5JHKdSby2EesenkS9lrdryjvsqoNaA8E8yGje9ymhUkxJsKzBazv32M4sD0pNovOm5rLMBh7S8qohc6XiIWLliG4aSktNnlW8JbyrknMn4ntqtgR5nrdDaHUo2VEslbF3EtBVZ02RzrqcCac4gKSc35UassR9GNrkx5uOyxsT5ymfEocr0ZWmJqV/VIluABh/eMtW5JHivPpyr60ppXMwUgZCb+fwZGDwDmQpqlzrfXjUotZ386icvQNul84k3vowtPNSJjXeb+1VoZWU3Ky+41E9stekFSrgsb1Nq8MYXtLySGreMinamUp0A0XKDFVKI55B1osU0pMGcQY/g3Zeim0kt4yX6Cx1JyNFqk4p0xe5MVJImJFiB/OW0dSQJTOWyN8p6bg0NaQl0fF5KbY3jag88W2zylSJzo9KdFPgITorJIFhSRwlG6Q3u4O2Pp4WtgD4HXI0pDybJw5PHtMIwCLXFMzbtlHy/ikTFK99KWUi5PUyTiE6j+rSG7fqhZeAPISYorpsi+p1OTBYjcFDbtasluFtNN6O77HlWWvlaVlXrIHME7vnfR9Wh8wdVBjenJwMjbhTcgyWRm4dUuxtXnuuR13plZAZlu3Lm3HE43RiEaVHRWoRv0ZUMpzHEx6QIn1LzHuSNi+sLNGlwBs3psXoeaVAb+iDt4zHgcXrzKIlw7Y8V3NtSiXVqin2oC4lVy9SSDTXscRzrTbX9sDrYauRXooziaWG9GTeKSGdpXhQdjWxqhLdADDtI1rqMK8KrStYjiEpLvjaoJAi0XlnjrkDoVddqpF97j29wb1epKhSc+vTpUSX8n09anfv8jcpEp13KRyPOjwlkNsr0Xnfu9YvvP3Fs3+ZsXJEl4MU+5RFQB7prM0x7RyP+sWaFWud0Luag1f9q6GrQb4Ecq/XV31SyChXErfgIbrSEp2nH3hDSVKILkX96yW6kqhEtyLI9d7TYM2eNW9Cy8swJVhaGyCsDiUHj2nnpdgPrEHFM8BMq+s0aM8p66Bt50ptqfB4oXrr4CU6z8DsVV0yuvSgtJIlt/WUTLHdexIny/3e1Fwpnqt9aZuWCStHdOPGYQ1knjyJuaQn75Prsu4lPc9M2rLxaV6bVrhFihrRS3QegvfE2pXGIhj9PeSWa/uzkGJv87ZDjRy9q4qkqIw9Kkl5Xl8OPR4nJO+xKtENCF7JgmE5lngG8xQjvpUmi7et9aw8Xm18nxS7TcosP0U6s66h1dObY9Czv0+UrEPKN8h14vE6SKWs86aV8abj0mCpB73SmceD0hsq4K2bF7PK1PCCASOlE1sqH62DpxiGJbTraZKWrKvHAO11ZrGyQ3hi96z3kUt62reSg5JF8EOF5bLOSOkXjBTpzHIs8aghvZM8htXWPBlHLKJLsbd5QwW08rmoRDcA5DQIrxeZNhP22qQsuxxDG6RlPT2ZVryDEndCnmFbM1TNxiehLRjbpY3MktKHhBQtg4aUoG7LScQb0+ZJwWWpLhkeLQXgk85Sspx4PVe1c7rEEPvBShFdCKGzxuLRd6d4dHln3FYZjRC97sXajJs7qxWk7q0nD2SsJupyhut5HxKLNBDkvg8v0aWQm5VxJGX5G8+1vZ7NKY4lKcHfmuSXourvCqugyVgpogMW96N6nTwYml0uxUaXMshbakgtMN07q/UkxpVlNJT+5ovahiyUlBK8jiVaW5G/vepw78KlGjxSnNdJRLPXyft4liOadaxvLNJErhQq0c3xfp4A5xIrGXjUol6i9BKdVR8PNC9UOXv2SoueupQY9PvAPFRYVvvQpCsrvq1tai752+tB6bGreT0oU0IFcm1v80AluoFiXjkKtU5gNTTPSuBS5eMZsLyE6s1LmCLReTz+rPsssnTnGTzmMfilSPJWmiyP45J1zNsmvTGGbaU42SY1ctOuK3+nSGrzGo+A6nU5CIQQTFVgF7Du55HoJLjj5Up7mqTnzffXpds+X1tzUrHgJcAuVXq518stn5LiyRNbaXnYahKZlOg0G13KOm8WmXhi37z2tpQsJ9r+eUl008YjWZdKdANA2wZWcsZuoa+cml67HiOFUDXiTlkOyPII9Xi4lnbYaFu+T2jPnSK5eRMKeAjRIseU9Re9sWYeyc2yt6WECmj3z7XD9TUWDRErS3TzUGFZXpcpA1RJA7Y3vMFrtylhW5y133sti/Ta2vgWHW29ai17rGf9NvnbG/ydEhPH0L6Vl6hSgr89tjerbqXtw7nXSpH4lxWV6BYQXqLzJE6W4GPeNfRybXmadCcHCC0MwlL5aDPrkp21rwHKC+/3zb22x/Ymf3tsb/J6ueTmVSN6Vu722ttSki0vWjvSUIluyRFCmKpm6LKReVVouV5kVkiCp+OlqOe87t6Wm3nbe3qJzusR6rmPJQXOA7kqSWu/J5+kpYZMSc2VknfSQ1qAT3KziK5kqMAiqMCnjUfVRjdA9C3RpaghU1z9Lc/EkipBrS6WA4v23N48nlY9PXaTFJvnIhOdFx5ys76bd2FejzOJ/Naeduyd1HjXedOSEKRIdClEZ2HRxqOhYWWJLgW5WfD7aswpDizeldBLhifI95GyXljbMrmBxhbm4RaeMhv32lZLfgOrDl54iM5K4eUpk2JvK0F0KehiPKrhBQNDboCzN0zB22i8S9l4nEG6dHP3QqqqxvAOsh57nTxPG8hSkv56pUhvmVxo9/RK794JSkoC764cS7zSWcrK3d6YuBSi05CiTfDCa29naORYiW4AaGujm7cUluJOn+LAwpDlNScPa4DInW2meHemTAJyO/U8PDVT6pzyPjRC9JaxkOJY4jnPK9Gl3DOX0PpSY1paEz7m7f9DwEoRXQjTkzp3SXS5Njo5U/N4M6YYx3OfU9pttBlmyfya8j4pajcPAZR2NugSbcneGxNneV3mqoO9akhOHKBJcZZE5yHHFDIrMX7Ms+1UZ5QBwztALcLgpcGzBh5gS17TkGKjswhZ6zi5aces+3htdF116hLtpmTdSkrI1rU1eB1LLA/KtllOvPfxqqm7DBuYxzgzRELTsHJE5/G67GqW7g0v8J6n7ZedPcXDrQ9YM0lv3TRpj2f2ud6hFuYh3aVIwilqSG8IgEcNaUnFXulMO5YS8J2SsSTXe3kRyMxThyESYO9EF0I4CMCbAWwG8FgAewA4LMZ4naPsurWyrwVwAIBvATg7xvi3mXUyf8/aXwK5Ks4Ut+EUL0HPCueyDl6Jbh4STIpDTwr6GmDaqi77sllaEl3KSgIaUVplckMFPPtTz8tF7kSZj1eiK4MjAfwKgK8D+CqA57Qo+24AbwTw1rXyvwrgkyGE58cY/8lzgWkSXWnpLqVxexuqp7x1zGuH8iDFtsHnpcRWeTEPoktpU6UGqGnn9UV0Hmcl+WwaOXklOq/q0uOM0pcZo3S/9pTp656LjnkQ3VdijI8EgBDCq+EkuhDC/hiR3AdijB9a2/3FEMKRAD4AwEV0znvN3LbK5N4zFymkZz2n1+lFg9fDzeOoYkkGGnKJrgQZeCSDXDKzjuUSuld6Z1i2YY8UV4LoulJX9oWU9sHoq8yio3eiizG29zUf4bkAdgXwcbH/4wD+LIRwWIxx66yLeCQ6T+NeNAN0imSQ0qC9qssUaJ3a6wGpwRvsPA81Zu61vUSnPWfKagGWDdhjrwN85JayoGlpomP0NRnVzvN6R86bnBcRy+SMciyA+wBcLfZfsfb/GAAzia4tutTlz0N/r+23BiUteNvKJ+kZ8CyJLiUnphYEzLAGGK/HYZfLKGlIcSZJCQjWbF9WLlUNXpWiV6Jrm6AZ8DvHzNpfGl6tS67En4Iq0c0X+wC4Le78FW6h4zPRVqIbAtG1HfS9A6EFHqS8s2dPrkoLXdnyclXBqfDUoS+bo5fcvC78ufa2lBReKTblVUQluiVECOEsAGet/bzvTW9603/Osz4LgH0B3DzvSswZ9R3UdzBGfQ/AUbT9aYzeSQ4W7n0uE9HdCmDvEEIQUt1YkrtlShnEGLcA2AIAIYSvxRg3d1vNxUZ9B/UdAPUdjFHfw+gdjLdjjKfPsy5doR8DQxlcAWA3AEeI/ces/b+y3+pU/P/tnXv0FVUVxz9fQEPFCkvEN+YrSMuSykchvvOxbLUyK0WlopWWaZmWiCEYSzErl0YGiglo+ag0H0WQ2Q+zUmO58pWiZlmZBioZKQro7o99rl6He3+vuXPn3uv+rDVrfrPnnDn77N/c2XPOnLNPEARBO9BOju6XwGrgqIx8HHBfb0ZcBkEQBK8/Sum6lHR4+nPXtD9I0jJgmZktSmnWAHPN7DMAZrZU0neAiZJWAHcBHwf2AQ7rZdEXN6oObUzYIGwAYYMKYYfXgQ1UxggbSfUKXWRmY6vSzDWz8VX5BgITgc/y2hBgPylU4SAIgqBtKcXRBUEQBEGzaKdvdDWRtKWkn0h6VtJ/JV0raate5h0s6TxJT0haKekPksYUrXOj6a8NJI2WdLGkByU9L+nvkn4oaZtm6N1I8twHmeucJskk3VaEnkWT1w6SRkr6saSn0m9iiaSTitS50eR8JmwlaW76LayU9JCkaZI2KFrvRiJpC0nfTc+059M9PaKXeQdImijpb5JekHS3pI8Wq3GxtLWjk7Q+cAvwduBY4GhgezwGZm9uzEvxbtDJwKHAE8ACSbsUo3HjyWmDT+ARZy4EDgJOA94DLJa0ZWFKN5gG3AeV67wNOANYWoSeRZPXDpJGA3fgo5snAAcD3wbyx3drEnlskM7fDIwBvo7XfzbwFeAHBapdBJXg+cvx4Pl94RvAFGAG/ly4HQ+ef3AjFWwqlWUZ2nEDTgJeArarkm0DrAFO7iHvuwADPlUlG4R/97uh7Lo1yQYb15BtDbyMf/ssvX5F2yBznQXALKALuK3sejX5XhiAT9G5rux6lGiDA9Iz4YCMfHrKv37Z9euDHQZU/T0h1WtEL/INw0MtTs3Ifw3cU3a9+ru1dYsOH215u5m9Ev/SfJrB74AP9yLvauDqqrxrgKuAAyW9ofHqFkK/bWBmy2rIHgOWAZs3WM8iyXMfACDpSLw1O7EQDZtDHjuMBUYC3ylMu+aQxwbrpv1/M/L/4C8CbRM3zIoJnr9zO37WgDbvusS73WqF9LqfVyeSd5f3r2b2fI286+JN/3Ygjw3WQtJI/K3ugZx6NZNcNpA0FDgf+KqZ1Yyw0ybkscMH0n6wpNslrZa0VNKFktZrqJbFkscGNwMPA+dKGiVpiKR98FbiTDN7rrGqtiS9CZ7fdrS7o9sI74PO8gwwNEfeyvl2II8NXoOkQcBMvEV3aX7VmkZeG5wHPATMaaBOZZDHDpul/dXAQmB/4Jt4t9ePGqVgE+i3DczsBdzhD8Af7CvwLrubgBMaq2bL0pDg+a1GO8W6DIpnBrAHcIiZ1XpYdBySPggcA7ynxo/79UTlpfcKM5uc/u5Kc1enSxppZu3Uyu8zkgbjjn4YPojl78D78MFqa4Djy9MuyEO7O7rl1H5Lq/dWl827dZ28UCdIdAuSxwavIGk6vsrDsWa2sEG6NYs8NpiFt17/KenNSTYIGJiOV5rZiw3TtFjy2OHptP9VRr4QH4zxbtqjOzuPDT6Df6vczsz+kmS3SnoWuFjSTDO7u2Gatib9Cp7f6rR71+X9eJ9yllH0HOT5fmCbNBw5m3cVa/dRtyp5bACApEnA14ATzezyBurWLPLYYCRwHP4Dr2x7Arulv9vpLT7v76E7+ju4odnkscHOwPIqJ1fhzrQfmVO3dqAjg+e3u6O7AdgtzX8CIE2K3DOd644bgXWAj1XlHYTHz1zYRm/xeWyApBOBacAkM5tRkI5Fk8cGe9fY7sYHNOwNtFN4uTx2mI8PQjgwI68s27KY9iCPDZ4EhkrKDkR7f9o/3iAdW5nODJ5f9vyGPBuwAd7yuhcfOnwY/pB6FBhSlW5rvI99cib/Vfhb+wRgX/yh9gL+vab0+hVtA3zC+Mv4Q263zDaq7Lo16z6ocb0u2nMeXd7fw5lJfjawHx5AYCUwp+y6NcMGwAh8asFD+GTzvYFTk2wxVXPT2mEDDk/b9/F5dMen472q0qwBLs3km56egyfjXbnfT8+JQ8uuU79tUbYCDfhnbgX8NN2MK4CfkZkYmW5gA6Zk5Ovh84aeTP/YO4CxZdepWTbARxlana2r7Ho16z6oca22dHR57YDPEzs5OYpVwGPAWcA6ZderiTYYBVwD/AN38g8B3wKGll2vftihx992Op6TyTcQjxD0GN7Kvwc4vOz65NkiqHMQBEHQ0bT7N7ogCIIg6JZwdEEQBEFHE44uCIIg6GjC0QVBEAQdTTi6IAiCoKMJRxcEQRB0NOHogpZA0tWSnpE0PCMfKOmPkh5upeViJI2QZJLGV8nGS/p0jbTjU9oRTVSxUvYASX+SdEqVbErSp7BYt5K+JOleSfGMCUonbsKgVfgiPnn1ooz8FGBXYIKZrWy6VvV5Atgd+HmVbDywlqNLaXZPeZrNOGBT1rZr0cwCNsYjjARBqYSjC1oCM1sKfBn4iKSPAUjaAZgCzDKzRSWqtxZm9qKZ3W41VmmvkXZZSltG/NRTgHm29gLDhZJeSual8oOgVMLRBS2Dmc3Dg8rOkPRWfPmcZcBXe8pb1T04RtLPJP1P0tOSvpft8pS0qaR5kp6S9KKkeySNy6QZLmmupH+lNE9IuknSsHT+NV2XkrqAvYA9k9ySrGbXpaR1JE2T9DdJq9J+mqR1qtJUyvicpLOSDv+RdKOkLXphk/fjEfl7XDhV0oeSzWak7s5K2cdJOkfSk5JWSLpC0vqStpO0IOV5RFKtlttVwChJe/RUfhAUSbuvRxd0Hp/Dlwq5A3gbvgjsij7kvwKPVXgRry6auQHerYikDYBF+Jplp+MxDccBl0ta38wuTte5HA/8e2pKswke+Du7rFOFz6eyB6Y6gMdarMdc4Ag8gPJt+IK3k1Kdj8yknQj8Hu8WHQZ8O5U1tpvrg688sAIPalwXSccAs4GzzGxaklWX3YV3QY7CVx1/GV+f7hI8DuTxwGWSFptZ9XI/f0rlfyjpHwTlUHawzdhiy27AOfj3up/2Ic/4lGdmRj4JeAnYIR2fkNKNzaS7GVgKDEzH/8PX56tX3oh0nfFVsi5qBIOu0m1EOt6J2gGFz0jyd2bK6MqkOyXJN+vBJvOB39WQT0n5B+Gt5dX4N9Ba9bslI782ycdVyYbiUfDPrFHWb/Flr0q/r2J7/W7RdRm0FJLeCByNP0zfK2nDPl7imszxVXgX/fvS8RjgcTPryqS7Ah88UVlg8o/AqZJOkrSzqpo4DWBMVZlZHcC7QKv5Reb43rTfqodyNsO7futxPjAVj0w/u06a+ZnjB9N+QUVgZsvxl4Qta+RflvQIgtIIRxe0GufhLYRD8G66c/qY/991jjdP+42oPfrxyarz4Avw3oC3eO4BHpc0uUHD5StlZPXI6lDhmcxxZVDL4B7KGVyVthafxBeYvbmbNMszx6u6kdfSZyW+HFYQlEY4uqBlkDQW+CxwhpnNx1c+P76Pgxk2qXNcWR36GWA4azO86jxmttTMvmBmmwNvx9fum8qr39/yUHFcWT2GZ87n5Wn8paEe++KtwvmShjSozCwbAU8VdO0g6BXh6IKWII2MvATvMrwgic/FB6bMlrRuLy91ROa4sor6Hel4EbCFpD0z6Y7Eu9/+nL2gmS0xs9PxVsxO3ZT9Ir1rvdxapVs1R6V9Vy+u0RsexAe31ON+fEDL9hTn7LYBlhRw3SDoNeHoglbhLHyU4wQzexnAzFYDE4Ad8UElveFgSedJ2l/SJOBMfB7Zw+n8HOBh4FpJE9Kw+suB/YGvm9lLkt6UorF8KZ3fV9KFeOtoYTdl/xnYSdLHJY2WtGOtRGZ2H3AlMEXSmUnXyfggkSvN7N5a+frBrcC2kt5SL4GZPYA7u22BBf34JloXSW8GduBVxx4EpRDTC4LSkTQanyx+dvYhb2Z3SroAOE3SNfba4eu1GAd8BR/yvgpvJb4yadnMnpO0Fz5MfjqwId7iONrMKoNBXgDuwrtRt8ZbhEuAo8zs+m7KPhd3yrOBIXjrcWydtOOBR/EpA2cA/0r5p/ZQv75wPV6XQ/HpDDUxsyXJJr8BFko6sEHlH4L/D65r0PWCoF/IzMrWIQhykyZuXwZsb2aPlKxOyyBpDrCFme1XQtnzgafM7Ohmlx0E1USLLgg6m6nAA5JGm9niZhUqaRdgH+AdzSozCOoR3+iCoIMxs7/i3aTDmlz0cHwyfbSug9KJrssgCIKgo4kWXRAEQdDRhKMLgiAIOppwdEEQBEFHE44uCIIg6GjC0QVBEAQdTTi6IAiCoKP5P6cwXRmrJV2wAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "# Plot shot record for true and smooth velocity model and the difference\n",
    "from examples.seismic import plot_shotrecord\n",
    "\n",
    "plot_shotrecord(true_d.data, model, t0, tn)\n",
    "plot_shotrecord(smooth_d.data, model, t0, tn)\n",
    "plot_shotrecord(smooth_d.data - true_d.data, model, t0, tn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Imaging with back-propagation\n",
    "\n",
    "As explained in the introduction of this tutorial, this method is based on back-propagation. \n",
    "\n",
    "## Adjoint wave equation\n",
    "\n",
    "If we go back to the modelling part, we can rewrite the simulation as a linear system solve:\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{A}(\\mathbf{m}) \\mathbf{u} = \\mathbf{q}\n",
    "\\end{equation}\n",
    "\n",
    "where $\\mathbf{m}$ is the discretized square slowness, $\\mathbf{q}$ is the discretized source and $\\mathbf{A}(\\mathbf{m})$ is the discretized wave-equation. The discretized wave-equation matricial representation is a lower triangular matrix that can be solve with forward substitution. The pointwise writing or the forward substitution leads to the time-stepping stencil.\n",
    "\n",
    "On a small problem one could form the matrix explicitly and transpose it to obtain the adjoint discrete wave-equation:\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{A}(\\mathbf{m})^T \\mathbf{v} = \\delta \\mathbf{d}\n",
    "\\end{equation}\n",
    "\n",
    "where $\\mathbf{v}$ is the discrete **adjoint wavefield** and  $\\delta \\mathbf{d}$ is the data residual defined as the difference between the field/observed data and the synthetic data $\\mathbf{d}_s = \\mathbf{P}_r \\mathbf{u}$. In our case we derive the discrete adjoint wave-equation from the discrete forward wave-equation to get its stencil. \n",
    "\n",
    "## Imaging\n",
    "\n",
    "Wave-equation based imaging relies on one simple concept:\n",
    "\n",
    "- If the background velocity model is cinematically correct, the forward wavefield $\\mathbf{u}$ and the adjoint wavefield $\\mathbf{v}$ meet at the reflectors position at zero time offset. \n",
    "\n",
    "The sum over time of the zero time-offset correlation of these two fields then creates an image of the subsurface. Mathematically this leads to the simple imaging condition:\n",
    "\n",
    "\\begin{equation}\n",
    "  \\text{Image} = \\sum_{t=1}^{n_t} \\mathbf{u}[t] \\mathbf{v}[t]\n",
    "\\end{equation}\n",
    "\n",
    "In the following tutorials we will describe a more advanced imaging condition that produces shaper and more accurate results.\n",
    "\n",
    "## Operator\n",
    "\n",
    "We will now define the imaging operator that computes the adjoint wavefield $\\mathbf{v}$ and correlates it with the forward wavefield $\\mathbf{u}$. This operator essentially consists of three components:\n",
    "* Stencil update of the adjoint wavefield `v`\n",
    "* Injection of the data residual at the adjoint source (forward receiver) location\n",
    "* Correlation of `u` and `v` to compute the image contribution at each timestep"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define gradient operator for imaging\n",
    "from devito import TimeFunction, Operator, Eq, solve\n",
    "from examples.seismic import PointSource\n",
    "\n",
    "def ImagingOperator(model, image):\n",
    "    # Define the wavefield with the size of the model and the time dimension\n",
    "    v = TimeFunction(name='v', grid=model.grid, time_order=2, space_order=4)\n",
    "\n",
    "    u = TimeFunction(name='u', grid=model.grid, time_order=2, space_order=4,\n",
    "                     save=geometry.nt)\n",
    "    \n",
    "    # Define the wave equation, but with a negated damping term\n",
    "    eqn = model.m * v.dt2 - v.laplace + model.damp * v.dt.T\n",
    "\n",
    "    # Use `solve` to rearrange the equation into a stencil expression\n",
    "    stencil = Eq(v.backward, solve(eqn, v.backward))\n",
    "    \n",
    "    # Define residual injection at the location of the forward receivers\n",
    "    dt = model.critical_dt\n",
    "    residual = PointSource(name='residual', grid=model.grid,\n",
    "                           time_range=geometry.time_axis,\n",
    "                           coordinates=geometry.rec_positions)    \n",
    "    res_term = residual.inject(field=v.backward, expr=residual * dt**2 / model.m)\n",
    "\n",
    "    # Correlate u and v for the current time step and add it to the image\n",
    "    image_update = Eq(image, image - u * v)\n",
    "\n",
    "    return Operator([stencil] + res_term + [image_update],\n",
    "                    subs=model.spacing_map)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Implementation of the imaging loop\n",
    "\n",
    "As just explained, the forward wave-equation is solved forward in time while the adjoint wave-equation is solved in a reversed time order. Therefore, the correlation of these two fields over time requires to store one of the two fields. The computational procedure for imaging follows:\n",
    "\n",
    "- Simulate the forward wave-equation with the background velocity model to get the synthetic data and save the full wavefield $\\mathbf{u}$\n",
    "- Compute the data residual\n",
    "- Back-propagate the data residual and compute on the fly the image contribution at each time step. \n",
    "\n",
    "This procedure is applied to multiple source positions (shots) and summed to obtain the full image of the subsurface. We can first visualize the varying locations of the sources that we will use. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "\n",
    "# Prepare the varying source locations\n",
    "source_locations = np.empty((nshots, 2), dtype=np.float32)\n",
    "source_locations[:, 0] = np.linspace(0., 1000, num=nshots)\n",
    "source_locations[:, 1] = 30.\n",
    "\n",
    "plot_velocity(model, source=source_locations)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Imaging source 1 out of 21\n",
      "Imaging source 2 out of 21\n",
      "Imaging source 3 out of 21\n",
      "Imaging source 4 out of 21\n",
      "Imaging source 5 out of 21\n",
      "Imaging source 6 out of 21\n",
      "Imaging source 7 out of 21\n",
      "Imaging source 8 out of 21\n",
      "Imaging source 9 out of 21\n",
      "Imaging source 10 out of 21\n",
      "Imaging source 11 out of 21\n",
      "Imaging source 12 out of 21\n",
      "Imaging source 13 out of 21\n",
      "Imaging source 14 out of 21\n",
      "Imaging source 15 out of 21\n",
      "Imaging source 16 out of 21\n",
      "Imaging source 17 out of 21\n",
      "Imaging source 18 out of 21\n",
      "Imaging source 19 out of 21\n",
      "Imaging source 20 out of 21\n",
      "Imaging source 21 out of 21\n"
     ]
    }
   ],
   "source": [
    "# Run imaging loop over shots\n",
    "from devito import Function\n",
    "\n",
    "# Create image symbol and instantiate the previously defined imaging operator\n",
    "image = Function(name='image', grid=model.grid)\n",
    "op_imaging = ImagingOperator(model, image)\n",
    "\n",
    "for i in range(nshots):\n",
    "    print('Imaging source %d out of %d' % (i+1, nshots))\n",
    "    \n",
    "    # Update source location\n",
    "    geometry.src_positions[0, :] = source_locations[i, :]\n",
    "\n",
    "    # Generate synthetic data from true model\n",
    "    true_d, _, _ = solver.forward(vp=model.vp)\n",
    "    \n",
    "    # Compute smooth data and full forward wavefield u0\n",
    "    smooth_d, u0, _ = solver.forward(vp=model0.vp, save=True)\n",
    "    \n",
    "    # Compute gradient from the data residual  \n",
    "    v = TimeFunction(name='v', grid=model.grid, time_order=2, space_order=4)\n",
    "    residual = smooth_d.data - true_d.data\n",
    "    op_imaging(u=u0, v=v, vp=model0.vp, dt=model0.critical_dt, \n",
    "               residual=residual)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#NBVAL_IGNORE_OUTPUT\n",
    "from examples.seismic import plot_image\n",
    "\n",
    "# Plot the inverted image\n",
    "plot_image(np.diff(image.data, axis=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from devito import norm\n",
    "assert np.isclose(norm(image), 1e7, rtol=1e1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we have an image of the subsurface with a strong reflector at the original location."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "[1] _Versteeg, R.J. & Grau, G. (eds.) (1991): The Marmousi experience. Proc. EAGE workshop on Practical Aspects of Seismic Data Inversion (Copenhagen, 1990), Eur. Assoc. Explor. Geophysicists, Zeist._"
   ]
  }
 ],
 "metadata": {
  "@webio": {
   "lastCommId": null,
   "lastKernelId": null
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  },
  "latex_envs": {
   "LaTeX_envs_menu_present": true,
   "autoclose": false,
   "autocomplete": true,
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
    "itemize": "Ctrl-I"
   },
   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
  },
  "widgets": {
   "state": {},
   "version": "1.1.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
